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Finding the Fourth Proportional to 7,097.68, 9,794.80 and 4,114.08

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Solution

The fourth proportional to 7,097.68, 9,794.80 and 4,114.08 is: 5,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.68 : 9,794.80 = 4,114.08 : x
  2. Step 2: Convert to fraction form
    7,097.68/9,794.80 = 4,114.08/x
  3. Step 3: Cross multiply
    7,097.68x = 9,794.80 × 4,114.08
  4. Step 4: Simplify right side
    7,097.68x = 40,296,590.78
  5. Step 5: Solve for x
    x = 40,296,590.78/7,097.68
  6. Step 6: Final answer
    x = 5,677.43

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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.