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Finding the Fourth Proportional to 11,524.98, 15,905.62 and 7,548.28

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Solution

The fourth proportional to 11,524.98, 15,905.62 and 7,548.28 is: 10,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.98 : 15,905.62 = 7,548.28 : x
  2. Step 2: Convert to fraction form
    11,524.98/15,905.62 = 7,548.28/x
  3. Step 3: Cross multiply
    11,524.98x = 15,905.62 × 7,548.28
  4. Step 4: Simplify right side
    11,524.98x = 120,060,073.33
  5. Step 5: Solve for x
    x = 120,060,073.33/11,524.98
  6. Step 6: Final answer
    x = 10,417.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.