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Finding the Fourth Proportional to 9,713.84, 14,570.76 and 8,249.36

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Solution

The fourth proportional to 9,713.84, 14,570.76 and 8,249.36 is: 12,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.84 : 14,570.76 = 8,249.36 : x
  2. Step 2: Convert to fraction form
    9,713.84/14,570.76 = 8,249.36/x
  3. Step 3: Cross multiply
    9,713.84x = 14,570.76 × 8,249.36
  4. Step 4: Simplify right side
    9,713.84x = 120,199,444.71
  5. Step 5: Solve for x
    x = 120,199,444.71/9,713.84
  6. Step 6: Final answer
    x = 12,374.04

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Half scale
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Double scale
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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.