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Finding the Fourth Proportional to 6,471.73, 9,724.02 and 6,036.38

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Solution

The fourth proportional to 6,471.73, 9,724.02 and 6,036.38 is: 9,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.73 : 9,724.02 = 6,036.38 : x
  2. Step 2: Convert to fraction form
    6,471.73/9,724.02 = 6,036.38/x
  3. Step 3: Cross multiply
    6,471.73x = 9,724.02 × 6,036.38
  4. Step 4: Simplify right side
    6,471.73x = 58,697,845.06
  5. Step 5: Solve for x
    x = 58,697,845.06/6,471.73
  6. Step 6: Final answer
    x = 9,069.88

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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.