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Finding the Fourth Proportional to 7,097.97, 9,795.07 and 4,114.08

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Solution

The fourth proportional to 7,097.97, 9,795.07 and 4,114.08 is: 5,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.97 : 9,795.07 = 4,114.08 : x
  2. Step 2: Convert to fraction form
    7,097.97/9,795.07 = 4,114.08/x
  3. Step 3: Cross multiply
    7,097.97x = 9,795.07 × 4,114.08
  4. Step 4: Simplify right side
    7,097.97x = 40,297,701.59
  5. Step 5: Solve for x
    x = 40,297,701.59/7,097.97
  6. Step 6: Final answer
    x = 5,677.36

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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.