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Finding the Fourth Proportional to 10,594.60, 15,892 and 2,697.13

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Solution

The fourth proportional to 10,594.60, 15,892 and 2,697.13 is: 4,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.60 : 15,892 = 2,697.13 : x
  2. Step 2: Convert to fraction form
    10,594.60/15,892 = 2,697.13/x
  3. Step 3: Cross multiply
    10,594.60x = 15,892 × 2,697.13
  4. Step 4: Simplify right side
    10,594.60x = 42,862,789.96
  5. Step 5: Solve for x
    x = 42,862,789.96/10,594.60
  6. Step 6: Final answer
    x = 4,045.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.