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Finding the Fourth Proportional to 15,655.98, 23,484.78 and 7,648.32

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Solution

The fourth proportional to 15,655.98, 23,484.78 and 7,648.32 is: 11,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,655.98 : 23,484.78 = 7,648.32 : x
  2. Step 2: Convert to fraction form
    15,655.98/23,484.78 = 7,648.32/x
  3. Step 3: Cross multiply
    15,655.98x = 23,484.78 × 7,648.32
  4. Step 4: Simplify right side
    15,655.98x = 179,619,112.57
  5. Step 5: Solve for x
    x = 179,619,112.57/15,655.98
  6. Step 6: Final answer
    x = 11,472.88

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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.