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Finding the Fourth Proportional to 17,724.48, 26,592.96 and 7,870.68

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Solution

The fourth proportional to 17,724.48, 26,592.96 and 7,870.68 is: 11,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.48 : 26,592.96 = 7,870.68 : x
  2. Step 2: Convert to fraction form
    17,724.48/26,592.96 = 7,870.68/x
  3. Step 3: Cross multiply
    17,724.48x = 26,592.96 × 7,870.68
  4. Step 4: Simplify right side
    17,724.48x = 209,304,678.41
  5. Step 5: Solve for x
    x = 209,304,678.41/17,724.48
  6. Step 6: Final answer
    x = 11,808.79

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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.