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Finding the Fourth Proportional to 7,097.84, 9,801.20 and 4,449.80

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Solution

The fourth proportional to 7,097.84, 9,801.20 and 4,449.80 is: 6,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.84 : 9,801.20 = 4,449.80 : x
  2. Step 2: Convert to fraction form
    7,097.84/9,801.20 = 4,449.80/x
  3. Step 3: Cross multiply
    7,097.84x = 9,801.20 × 4,449.80
  4. Step 4: Simplify right side
    7,097.84x = 43,613,379.76
  5. Step 5: Solve for x
    x = 43,613,379.76/7,097.84
  6. Step 6: Final answer
    x = 6,144.60

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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.