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Finding the Fourth Proportional to 6,593.48, 9,097.74 and 4,470.70

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Solution

The fourth proportional to 6,593.48, 9,097.74 and 4,470.70 is: 6,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.48 : 9,097.74 = 4,470.70 : x
  2. Step 2: Convert to fraction form
    6,593.48/9,097.74 = 4,470.70/x
  3. Step 3: Cross multiply
    6,593.48x = 9,097.74 × 4,470.70
  4. Step 4: Simplify right side
    6,593.48x = 40,673,266.22
  5. Step 5: Solve for x
    x = 40,673,266.22/6,593.48
  6. Step 6: Final answer
    x = 6,168.71

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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.