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Finding the Fourth Proportional to 6,594.52, 9,102.06 and 4,498.50

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Solution

The fourth proportional to 6,594.52, 9,102.06 and 4,498.50 is: 6,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.52 : 9,102.06 = 4,498.50 : x
  2. Step 2: Convert to fraction form
    6,594.52/9,102.06 = 4,498.50/x
  3. Step 3: Cross multiply
    6,594.52x = 9,102.06 × 4,498.50
  4. Step 4: Simplify right side
    6,594.52x = 40,945,616.91
  5. Step 5: Solve for x
    x = 40,945,616.91/6,594.52
  6. Step 6: Final answer
    x = 6,209.04

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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.