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Finding the Fourth Proportional to 6,404.10, 9,606.15 and 4,524.90

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Solution

The fourth proportional to 6,404.10, 9,606.15 and 4,524.90 is: 6,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.10 : 9,606.15 = 4,524.90 : x
  2. Step 2: Convert to fraction form
    6,404.10/9,606.15 = 4,524.90/x
  3. Step 3: Cross multiply
    6,404.10x = 9,606.15 × 4,524.90
  4. Step 4: Simplify right side
    6,404.10x = 43,466,868.14
  5. Step 5: Solve for x
    x = 43,466,868.14/6,404.10
  6. Step 6: Final answer
    x = 6,787.35

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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.