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Finding the Fourth Proportional to 6,902.70, 9,522.81 and 5,707.14

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Solution

The fourth proportional to 6,902.70, 9,522.81 and 5,707.14 is: 7,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.70 : 9,522.81 = 5,707.14 : x
  2. Step 2: Convert to fraction form
    6,902.70/9,522.81 = 5,707.14/x
  3. Step 3: Cross multiply
    6,902.70x = 9,522.81 × 5,707.14
  4. Step 4: Simplify right side
    6,902.70x = 54,348,009.86
  5. Step 5: Solve for x
    x = 54,348,009.86/6,902.70
  6. Step 6: Final answer
    x = 7,873.44

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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.