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Finding the Fourth Proportional to 7,046.73, 9,724.64 and 3,902.92

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Solution

The fourth proportional to 7,046.73, 9,724.64 and 3,902.92 is: 5,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.73 : 9,724.64 = 3,902.92 : x
  2. Step 2: Convert to fraction form
    7,046.73/9,724.64 = 3,902.92/x
  3. Step 3: Cross multiply
    7,046.73x = 9,724.64 × 3,902.92
  4. Step 4: Simplify right side
    7,046.73x = 37,954,448.12
  5. Step 5: Solve for x
    x = 37,954,448.12/7,046.73
  6. Step 6: Final answer
    x = 5,386.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.