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Finding the Fourth Proportional to 10,589.62, 15,874.09 and 5,041.47

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Solution

The fourth proportional to 10,589.62, 15,874.09 and 5,041.47 is: 7,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.62 : 15,874.09 = 5,041.47 : x
  2. Step 2: Convert to fraction form
    10,589.62/15,874.09 = 5,041.47/x
  3. Step 3: Cross multiply
    10,589.62x = 15,874.09 × 5,041.47
  4. Step 4: Simplify right side
    10,589.62x = 80,028,643.93
  5. Step 5: Solve for x
    x = 80,028,643.93/10,589.62
  6. Step 6: Final answer
    x = 7,557.28

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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.