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Finding the Fourth Proportional to 6,697.60, 9,215.52 and 5,498.17

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Solution

The fourth proportional to 6,697.60, 9,215.52 and 5,498.17 is: 7,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.60 : 9,215.52 = 5,498.17 : x
  2. Step 2: Convert to fraction form
    6,697.60/9,215.52 = 5,498.17/x
  3. Step 3: Cross multiply
    6,697.60x = 9,215.52 × 5,498.17
  4. Step 4: Simplify right side
    6,697.60x = 50,668,518.64
  5. Step 5: Solve for x
    x = 50,668,518.64/6,697.60
  6. Step 6: Final answer
    x = 7,565.18

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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.