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Finding the Fourth Proportional to 7,097.56, 9,792.42 and 3,953.20

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Solution

The fourth proportional to 7,097.56, 9,792.42 and 3,953.20 is: 5,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.56 : 9,792.42 = 3,953.20 : x
  2. Step 2: Convert to fraction form
    7,097.56/9,792.42 = 3,953.20/x
  3. Step 3: Cross multiply
    7,097.56x = 9,792.42 × 3,953.20
  4. Step 4: Simplify right side
    7,097.56x = 38,711,394.74
  5. Step 5: Solve for x
    x = 38,711,394.74/7,097.56
  6. Step 6: Final answer
    x = 5,454.18

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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.