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Finding the Fourth Proportional to 10,532.08, 15,775.08 and 6,419.44

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Solution

The fourth proportional to 10,532.08, 15,775.08 and 6,419.44 is: 9,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.08 : 15,775.08 = 6,419.44 : x
  2. Step 2: Convert to fraction form
    10,532.08/15,775.08 = 6,419.44/x
  3. Step 3: Cross multiply
    10,532.08x = 15,775.08 × 6,419.44
  4. Step 4: Simplify right side
    10,532.08x = 101,267,179.56
  5. Step 5: Solve for x
    x = 101,267,179.56/10,532.08
  6. Step 6: Final answer
    x = 9,615.12

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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.