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Finding the Fourth Proportional to 8,902.96, 12,274.90 and 5,710.62

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Solution

The fourth proportional to 8,902.96, 12,274.90 and 5,710.62 is: 7,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.96 : 12,274.90 = 5,710.62 : x
  2. Step 2: Convert to fraction form
    8,902.96/12,274.90 = 5,710.62/x
  3. Step 3: Cross multiply
    8,902.96x = 12,274.90 × 5,710.62
  4. Step 4: Simplify right side
    8,902.96x = 70,097,289.44
  5. Step 5: Solve for x
    x = 70,097,289.44/8,902.96
  6. Step 6: Final answer
    x = 7,873.48

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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.