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Finding the Fourth Proportional to 11,265.76, 15,553.40 and 7,734.16

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Solution

The fourth proportional to 11,265.76, 15,553.40 and 7,734.16 is: 10,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.76 : 15,553.40 = 7,734.16 : x
  2. Step 2: Convert to fraction form
    11,265.76/15,553.40 = 7,734.16/x
  3. Step 3: Cross multiply
    11,265.76x = 15,553.40 × 7,734.16
  4. Step 4: Simplify right side
    11,265.76x = 120,292,484.14
  5. Step 5: Solve for x
    x = 120,292,484.14/11,265.76
  6. Step 6: Final answer
    x = 10,677.71

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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.