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Finding the Fourth Proportional to 6,569.70, 9,849.53 and 3,285.10

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Solution

The fourth proportional to 6,569.70, 9,849.53 and 3,285.10 is: 4,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.70 : 9,849.53 = 3,285.10 : x
  2. Step 2: Convert to fraction form
    6,569.70/9,849.53 = 3,285.10/x
  3. Step 3: Cross multiply
    6,569.70x = 9,849.53 × 3,285.10
  4. Step 4: Simplify right side
    6,569.70x = 32,356,691.00
  5. Step 5: Solve for x
    x = 32,356,691.00/6,569.70
  6. Step 6: Final answer
    x = 4,925.14

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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.