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Finding the Fourth Proportional to 9,158.67, 13,744.08 and 7,924.23

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Solution

The fourth proportional to 9,158.67, 13,744.08 and 7,924.23 is: 11,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.67 : 13,744.08 = 7,924.23 : x
  2. Step 2: Convert to fraction form
    9,158.67/13,744.08 = 7,924.23/x
  3. Step 3: Cross multiply
    9,158.67x = 13,744.08 × 7,924.23
  4. Step 4: Simplify right side
    9,158.67x = 108,911,251.06
  5. Step 5: Solve for x
    x = 108,911,251.06/9,158.67
  6. Step 6: Final answer
    x = 11,891.60

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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.