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Finding the Fourth Proportional to 15,266.52, 22,896 and 6,500.52

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Solution

The fourth proportional to 15,266.52, 22,896 and 6,500.52 is: 9,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266.52 : 22,896 = 6,500.52 : x
  2. Step 2: Convert to fraction form
    15,266.52/22,896 = 6,500.52/x
  3. Step 3: Cross multiply
    15,266.52x = 22,896 × 6,500.52
  4. Step 4: Simplify right side
    15,266.52x = 148,835,905.92
  5. Step 5: Solve for x
    x = 148,835,905.92/15,266.52
  6. Step 6: Final answer
    x = 9,749.17

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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.