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Finding the Fourth Proportional to 6,652.16, 9,986.52 and 4,304.48

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Solution

The fourth proportional to 6,652.16, 9,986.52 and 4,304.48 is: 6,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.16 : 9,986.52 = 4,304.48 : x
  2. Step 2: Convert to fraction form
    6,652.16/9,986.52 = 4,304.48/x
  3. Step 3: Cross multiply
    6,652.16x = 9,986.52 × 4,304.48
  4. Step 4: Simplify right side
    6,652.16x = 42,986,775.61
  5. Step 5: Solve for x
    x = 42,986,775.61/6,652.16
  6. Step 6: Final answer
    x = 6,462.08

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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.