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Finding the Fourth Proportional to 6,482.61, 9,724.50 and 3,901.95

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Solution

The fourth proportional to 6,482.61, 9,724.50 and 3,901.95 is: 5,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.61 : 9,724.50 = 3,901.95 : x
  2. Step 2: Convert to fraction form
    6,482.61/9,724.50 = 3,901.95/x
  3. Step 3: Cross multiply
    6,482.61x = 9,724.50 × 3,901.95
  4. Step 4: Simplify right side
    6,482.61x = 37,944,512.78
  5. Step 5: Solve for x
    x = 37,944,512.78/6,482.61
  6. Step 6: Final answer
    x = 5,853.28

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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.