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Finding the Fourth Proportional to 15,048, 22,572.54 and 4,659.48

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Solution

The fourth proportional to 15,048, 22,572.54 and 4,659.48 is: 6,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,048 : 22,572.54 = 4,659.48 : x
  2. Step 2: Convert to fraction form
    15,048/22,572.54 = 4,659.48/x
  3. Step 3: Cross multiply
    15,048x = 22,572.54 × 4,659.48
  4. Step 4: Simplify right side
    15,048x = 105,176,298.68
  5. Step 5: Solve for x
    x = 105,176,298.68/15,048
  6. Step 6: Final answer
    x = 6,989.39

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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.