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Finding the Fourth Proportional to 10,697.13, 14,762.14 and 5,916.83

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Solution

The fourth proportional to 10,697.13, 14,762.14 and 5,916.83 is: 8,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.13 : 14,762.14 = 5,916.83 : x
  2. Step 2: Convert to fraction form
    10,697.13/14,762.14 = 5,916.83/x
  3. Step 3: Cross multiply
    10,697.13x = 14,762.14 × 5,916.83
  4. Step 4: Simplify right side
    10,697.13x = 87,344,984.21
  5. Step 5: Solve for x
    x = 87,344,984.21/10,697.13
  6. Step 6: Final answer
    x = 8,165.27

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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.