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Finding the Fourth Proportional to 7,097.88, 9,801.24 and 4,449.80

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Solution

The fourth proportional to 7,097.88, 9,801.24 and 4,449.80 is: 6,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.88 : 9,801.24 = 4,449.80 : x
  2. Step 2: Convert to fraction form
    7,097.88/9,801.24 = 4,449.80/x
  3. Step 3: Cross multiply
    7,097.88x = 9,801.24 × 4,449.80
  4. Step 4: Simplify right side
    7,097.88x = 43,613,557.75
  5. Step 5: Solve for x
    x = 43,613,557.75/7,097.88
  6. Step 6: Final answer
    x = 6,144.59

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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.