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Finding the Fourth Proportional to 7,214.48, 9,956.04 and 3,902.48

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Solution

The fourth proportional to 7,214.48, 9,956.04 and 3,902.48 is: 5,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.48 : 9,956.04 = 3,902.48 : x
  2. Step 2: Convert to fraction form
    7,214.48/9,956.04 = 3,902.48/x
  3. Step 3: Cross multiply
    7,214.48x = 9,956.04 × 3,902.48
  4. Step 4: Simplify right side
    7,214.48x = 38,853,246.98
  5. Step 5: Solve for x
    x = 38,853,246.98/7,214.48
  6. Step 6: Final answer
    x = 5,385.45

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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.