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Finding the Fourth Proportional to 22,952, 34,433.76 and 6,536

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Solution

The fourth proportional to 22,952, 34,433.76 and 6,536 is: 9,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952 : 34,433.76 = 6,536 : x
  2. Step 2: Convert to fraction form
    22,952/34,433.76 = 6,536/x
  3. Step 3: Cross multiply
    22,952x = 34,433.76 × 6,536
  4. Step 4: Simplify right side
    22,952x = 225,059,055.36
  5. Step 5: Solve for x
    x = 225,059,055.36/22,952
  6. Step 6: Final answer
    x = 9,805.64

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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.