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Finding the Fourth Proportional to 6,566.60, 9,851.72 and 3,646.95

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Solution

The fourth proportional to 6,566.60, 9,851.72 and 3,646.95 is: 5,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.60 : 9,851.72 = 3,646.95 : x
  2. Step 2: Convert to fraction form
    6,566.60/9,851.72 = 3,646.95/x
  3. Step 3: Cross multiply
    6,566.60x = 9,851.72 × 3,646.95
  4. Step 4: Simplify right side
    6,566.60x = 35,928,730.25
  5. Step 5: Solve for x
    x = 35,928,730.25/6,566.60
  6. Step 6: Final answer
    x = 5,471.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.