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Finding the Fourth Proportional to 6,549.95, 9,825.03 and 3,646.71

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Solution

The fourth proportional to 6,549.95, 9,825.03 and 3,646.71 is: 5,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.95 : 9,825.03 = 3,646.71 : x
  2. Step 2: Convert to fraction form
    6,549.95/9,825.03 = 3,646.71/x
  3. Step 3: Cross multiply
    6,549.95x = 9,825.03 × 3,646.71
  4. Step 4: Simplify right side
    6,549.95x = 35,829,035.15
  5. Step 5: Solve for x
    x = 35,829,035.15/6,549.95
  6. Step 6: Final answer
    x = 5,470.12

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Why These Related Problems?

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