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Finding the Fourth Proportional to 10,497.97, 14,457.90 and 8,713.18

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Solution

The fourth proportional to 10,497.97, 14,457.90 and 8,713.18 is: 11,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.97 : 14,457.90 = 8,713.18 : x
  2. Step 2: Convert to fraction form
    10,497.97/14,457.90 = 8,713.18/x
  3. Step 3: Cross multiply
    10,497.97x = 14,457.90 × 8,713.18
  4. Step 4: Simplify right side
    10,497.97x = 125,974,285.12
  5. Step 5: Solve for x
    x = 125,974,285.12/10,497.97
  6. Step 6: Final answer
    x = 11,999.87

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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.