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Finding the Fourth Proportional to 9,902.34, 13,664.88 and 5,921.10

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Solution

The fourth proportional to 9,902.34, 13,664.88 and 5,921.10 is: 8,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.34 : 13,664.88 = 5,921.10 : x
  2. Step 2: Convert to fraction form
    9,902.34/13,664.88 = 5,921.10/x
  3. Step 3: Cross multiply
    9,902.34x = 13,664.88 × 5,921.10
  4. Step 4: Simplify right side
    9,902.34x = 80,911,120.97
  5. Step 5: Solve for x
    x = 80,911,120.97/9,902.34
  6. Step 6: Final answer
    x = 8,170.91

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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.