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Finding the Fourth Proportional to 6,404.01, 9,606.03 and 2,505.66

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Solution

The fourth proportional to 6,404.01, 9,606.03 and 2,505.66 is: 3,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.01 : 9,606.03 = 2,505.66 : x
  2. Step 2: Convert to fraction form
    6,404.01/9,606.03 = 2,505.66/x
  3. Step 3: Cross multiply
    6,404.01x = 9,606.03 × 2,505.66
  4. Step 4: Simplify right side
    6,404.01x = 24,069,445.13
  5. Step 5: Solve for x
    x = 24,069,445.13/6,404.01
  6. Step 6: Final answer
    x = 3,758.50

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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.