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Finding the Fourth Proportional to 6,565.62, 9,845.55 and 2,404.55

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Solution

The fourth proportional to 6,565.62, 9,845.55 and 2,404.55 is: 3,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.62 : 9,845.55 = 2,404.55 : x
  2. Step 2: Convert to fraction form
    6,565.62/9,845.55 = 2,404.55/x
  3. Step 3: Cross multiply
    6,565.62x = 9,845.55 × 2,404.55
  4. Step 4: Simplify right side
    6,565.62x = 23,674,117.25
  5. Step 5: Solve for x
    x = 23,674,117.25/6,565.62
  6. Step 6: Final answer
    x = 3,605.77

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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.