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Finding the Fourth Proportional to 6,902.74, 10,350.12 and 4,714.12

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Solution

The fourth proportional to 6,902.74, 10,350.12 and 4,714.12 is: 7,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.74 : 10,350.12 = 4,714.12 : x
  2. Step 2: Convert to fraction form
    6,902.74/10,350.12 = 4,714.12/x
  3. Step 3: Cross multiply
    6,902.74x = 10,350.12 × 4,714.12
  4. Step 4: Simplify right side
    6,902.74x = 48,791,707.69
  5. Step 5: Solve for x
    x = 48,791,707.69/6,902.74
  6. Step 6: Final answer
    x = 7,068.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.