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Finding the Fourth Proportional to 9,282.86, 12,810.19 and 5,249.63

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Solution

The fourth proportional to 9,282.86, 12,810.19 and 5,249.63 is: 7,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.86 : 12,810.19 = 5,249.63 : x
  2. Step 2: Convert to fraction form
    9,282.86/12,810.19 = 5,249.63/x
  3. Step 3: Cross multiply
    9,282.86x = 12,810.19 × 5,249.63
  4. Step 4: Simplify right side
    9,282.86x = 67,248,757.73
  5. Step 5: Solve for x
    x = 67,248,757.73/9,282.86
  6. Step 6: Final answer
    x = 7,244.40

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Half scale
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Double scale
Find fourth proportional to 9,283.86, 12,811.57 and 5,250.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.