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Finding the Fourth Proportional to 6,201.52, 9,282.06 and 4,557.64

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Solution

The fourth proportional to 6,201.52, 9,282.06 and 4,557.64 is: 6,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.52 : 9,282.06 = 4,557.64 : x
  2. Step 2: Convert to fraction form
    6,201.52/9,282.06 = 4,557.64/x
  3. Step 3: Cross multiply
    6,201.52x = 9,282.06 × 4,557.64
  4. Step 4: Simplify right side
    6,201.52x = 42,304,287.94
  5. Step 5: Solve for x
    x = 42,304,287.94/6,201.52
  6. Step 6: Final answer
    x = 6,821.60

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1.5x scale

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.