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Finding the Fourth Proportional to 9,924.97, 14,946.87 and 9,039.23

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Solution

The fourth proportional to 9,924.97, 14,946.87 and 9,039.23 is: 13,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.97 : 14,946.87 = 9,039.23 : x
  2. Step 2: Convert to fraction form
    9,924.97/14,946.87 = 9,039.23/x
  3. Step 3: Cross multiply
    9,924.97x = 14,946.87 × 9,039.23
  4. Step 4: Simplify right side
    9,924.97x = 135,108,233.08
  5. Step 5: Solve for x
    x = 135,108,233.08/9,924.97
  6. Step 6: Final answer
    x = 13,612.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.