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Finding the Fourth Proportional to 9,707.40, 14,561.10 and 8,249.40

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Solution

The fourth proportional to 9,707.40, 14,561.10 and 8,249.40 is: 12,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.40 : 14,561.10 = 8,249.40 : x
  2. Step 2: Convert to fraction form
    9,707.40/14,561.10 = 8,249.40/x
  3. Step 3: Cross multiply
    9,707.40x = 14,561.10 × 8,249.40
  4. Step 4: Simplify right side
    9,707.40x = 120,120,338.34
  5. Step 5: Solve for x
    x = 120,120,338.34/9,707.40
  6. Step 6: Final answer
    x = 12,374.10

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Half scale
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Double scale
Find fourth proportional to 9,708.40, 14,562.60 and 8,250.40
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.