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Finding the Fourth Proportional to 22,959.27, 34,434.34 and 6,315

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Solution

The fourth proportional to 22,959.27, 34,434.34 and 6,315 is: 9,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.27 : 34,434.34 = 6,315 : x
  2. Step 2: Convert to fraction form
    22,959.27/34,434.34 = 6,315/x
  3. Step 3: Cross multiply
    22,959.27x = 34,434.34 × 6,315
  4. Step 4: Simplify right side
    22,959.27x = 217,452,857.10
  5. Step 5: Solve for x
    x = 217,452,857.10/22,959.27
  6. Step 6: Final answer
    x = 9,471.24

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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.