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Finding the Fourth Proportional to 10,713, 14,781.40 and 6,234.04

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Solution

The fourth proportional to 10,713, 14,781.40 and 6,234.04 is: 8,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713 : 14,781.40 = 6,234.04 : x
  2. Step 2: Convert to fraction form
    10,713/14,781.40 = 6,234.04/x
  3. Step 3: Cross multiply
    10,713x = 14,781.40 × 6,234.04
  4. Step 4: Simplify right side
    10,713x = 92,147,838.86
  5. Step 5: Solve for x
    x = 92,147,838.86/10,713
  6. Step 6: Final answer
    x = 8,601.50

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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.