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Finding the Fourth Proportional to 15,262.24, 22,871.28 and 7,462.24

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Solution

The fourth proportional to 15,262.24, 22,871.28 and 7,462.24 is: 11,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262.24 : 22,871.28 = 7,462.24 : x
  2. Step 2: Convert to fraction form
    15,262.24/22,871.28 = 7,462.24/x
  3. Step 3: Cross multiply
    15,262.24x = 22,871.28 × 7,462.24
  4. Step 4: Simplify right side
    15,262.24x = 170,670,980.47
  5. Step 5: Solve for x
    x = 170,670,980.47/15,262.24
  6. Step 6: Final answer
    x = 11,182.56

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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.