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Finding the Fourth Proportional to 9,902.85, 13,665.93 and 5,924.90

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Solution

The fourth proportional to 9,902.85, 13,665.93 and 5,924.90 is: 8,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.85 : 13,665.93 = 5,924.90 : x
  2. Step 2: Convert to fraction form
    9,902.85/13,665.93 = 5,924.90/x
  3. Step 3: Cross multiply
    9,902.85x = 13,665.93 × 5,924.90
  4. Step 4: Simplify right side
    9,902.85x = 80,969,170.70
  5. Step 5: Solve for x
    x = 80,969,170.70/9,902.85
  6. Step 6: Final answer
    x = 8,176.35

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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.