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Finding the Fourth Proportional to 6,470.67, 8,924.54 and 5,575.89

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Solution

The fourth proportional to 6,470.67, 8,924.54 and 5,575.89 is: 7,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.67 : 8,924.54 = 5,575.89 : x
  2. Step 2: Convert to fraction form
    6,470.67/8,924.54 = 5,575.89/x
  3. Step 3: Cross multiply
    6,470.67x = 8,924.54 × 5,575.89
  4. Step 4: Simplify right side
    6,470.67x = 49,762,253.34
  5. Step 5: Solve for x
    x = 49,762,253.34/6,470.67
  6. Step 6: Final answer
    x = 7,690.43

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