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Finding the Fourth Proportional to 10,693.61, 14,757.09 and 6,157.18

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Solution

The fourth proportional to 10,693.61, 14,757.09 and 6,157.18 is: 8,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.61 : 14,757.09 = 6,157.18 : x
  2. Step 2: Convert to fraction form
    10,693.61/14,757.09 = 6,157.18/x
  3. Step 3: Cross multiply
    10,693.61x = 14,757.09 × 6,157.18
  4. Step 4: Simplify right side
    10,693.61x = 90,862,059.41
  5. Step 5: Solve for x
    x = 90,862,059.41/10,693.61
  6. Step 6: Final answer
    x = 8,496.86

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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.