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Finding the Fourth Proportional to 10,595.13, 15,892.69 and 5,978.13

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Solution

The fourth proportional to 10,595.13, 15,892.69 and 5,978.13 is: 8,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.13 : 15,892.69 = 5,978.13 : x
  2. Step 2: Convert to fraction form
    10,595.13/15,892.69 = 5,978.13/x
  3. Step 3: Cross multiply
    10,595.13x = 15,892.69 × 5,978.13
  4. Step 4: Simplify right side
    10,595.13x = 95,008,566.87
  5. Step 5: Solve for x
    x = 95,008,566.87/10,595.13
  6. Step 6: Final answer
    x = 8,967.19

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1.5x scale

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.