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Finding the Fourth Proportional to 22,906.17, 34,359.30 and 9,055.17

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Solution

The fourth proportional to 22,906.17, 34,359.30 and 9,055.17 is: 13,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.17 : 34,359.30 = 9,055.17 : x
  2. Step 2: Convert to fraction form
    22,906.17/34,359.30 = 9,055.17/x
  3. Step 3: Cross multiply
    22,906.17x = 34,359.30 × 9,055.17
  4. Step 4: Simplify right side
    22,906.17x = 311,129,302.58
  5. Step 5: Solve for x
    x = 311,129,302.58/22,906.17
  6. Step 6: Final answer
    x = 13,582.77

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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.