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Finding the Fourth Proportional to 10,452.88, 15,685.04 and 5,774.88

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Solution

The fourth proportional to 10,452.88, 15,685.04 and 5,774.88 is: 8,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.88 : 15,685.04 = 5,774.88 : x
  2. Step 2: Convert to fraction form
    10,452.88/15,685.04 = 5,774.88/x
  3. Step 3: Cross multiply
    10,452.88x = 15,685.04 × 5,774.88
  4. Step 4: Simplify right side
    10,452.88x = 90,579,223.80
  5. Step 5: Solve for x
    x = 90,579,223.80/10,452.88
  6. Step 6: Final answer
    x = 8,665.48

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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.