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Finding the Fourth Proportional to 6,654.81, 9,981.32 and 1,724.49

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Solution

The fourth proportional to 6,654.81, 9,981.32 and 1,724.49 is: 2,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.81 : 9,981.32 = 1,724.49 : x
  2. Step 2: Convert to fraction form
    6,654.81/9,981.32 = 1,724.49/x
  3. Step 3: Cross multiply
    6,654.81x = 9,981.32 × 1,724.49
  4. Step 4: Simplify right side
    6,654.81x = 17,212,677.90
  5. Step 5: Solve for x
    x = 17,212,677.90/6,654.81
  6. Step 6: Final answer
    x = 2,586.50

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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.