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Finding the Fourth Proportional to 6,458.53, 8,919.02 and 5,565.96

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Solution

The fourth proportional to 6,458.53, 8,919.02 and 5,565.96 is: 7,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.53 : 8,919.02 = 5,565.96 : x
  2. Step 2: Convert to fraction form
    6,458.53/8,919.02 = 5,565.96/x
  3. Step 3: Cross multiply
    6,458.53x = 8,919.02 × 5,565.96
  4. Step 4: Simplify right side
    6,458.53x = 49,642,894.64
  5. Step 5: Solve for x
    x = 49,642,894.64/6,458.53
  6. Step 6: Final answer
    x = 7,686.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.