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Finding the Fourth Proportional to 10,697.13, 14,760.90 and 5,916.31

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Solution

The fourth proportional to 10,697.13, 14,760.90 and 5,916.31 is: 8,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.13 : 14,760.90 = 5,916.31 : x
  2. Step 2: Convert to fraction form
    10,697.13/14,760.90 = 5,916.31/x
  3. Step 3: Cross multiply
    10,697.13x = 14,760.90 × 5,916.31
  4. Step 4: Simplify right side
    10,697.13x = 87,330,047.49
  5. Step 5: Solve for x
    x = 87,330,047.49/10,697.13
  6. Step 6: Final answer
    x = 8,163.88

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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.