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Finding the Fourth Proportional to 6,354.56, 9,528.14 and 2,454.42

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Solution

The fourth proportional to 6,354.56, 9,528.14 and 2,454.42 is: 3,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.56 : 9,528.14 = 2,454.42 : x
  2. Step 2: Convert to fraction form
    6,354.56/9,528.14 = 2,454.42/x
  3. Step 3: Cross multiply
    6,354.56x = 9,528.14 × 2,454.42
  4. Step 4: Simplify right side
    6,354.56x = 23,386,057.38
  5. Step 5: Solve for x
    x = 23,386,057.38/6,354.56
  6. Step 6: Final answer
    x = 3,680.20

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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.