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Finding the Fourth Proportional to 9,855.47, 13,577.22 and 6,865.97

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Solution

The fourth proportional to 9,855.47, 13,577.22 and 6,865.97 is: 9,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.47 : 13,577.22 = 6,865.97 : x
  2. Step 2: Convert to fraction form
    9,855.47/13,577.22 = 6,865.97/x
  3. Step 3: Cross multiply
    9,855.47x = 13,577.22 × 6,865.97
  4. Step 4: Simplify right side
    9,855.47x = 93,220,717.32
  5. Step 5: Solve for x
    x = 93,220,717.32/9,855.47
  6. Step 6: Final answer
    x = 9,458.78

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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.