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Finding the Fourth Proportional to 13,102.68, 19,654.01 and 7,552.49

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Solution

The fourth proportional to 13,102.68, 19,654.01 and 7,552.49 is: 11,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.68 : 19,654.01 = 7,552.49 : x
  2. Step 2: Convert to fraction form
    13,102.68/19,654.01 = 7,552.49/x
  3. Step 3: Cross multiply
    13,102.68x = 19,654.01 × 7,552.49
  4. Step 4: Simplify right side
    13,102.68x = 148,436,577.95
  5. Step 5: Solve for x
    x = 148,436,577.95/13,102.68
  6. Step 6: Final answer
    x = 11,328.72

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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.