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Finding the Fourth Proportional to 7,097.53, 9,793.84 and 4,114.30

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Solution

The fourth proportional to 7,097.53, 9,793.84 and 4,114.30 is: 5,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.53 : 9,793.84 = 4,114.30 : x
  2. Step 2: Convert to fraction form
    7,097.53/9,793.84 = 4,114.30/x
  3. Step 3: Cross multiply
    7,097.53x = 9,793.84 × 4,114.30
  4. Step 4: Simplify right side
    7,097.53x = 40,294,795.91
  5. Step 5: Solve for x
    x = 40,294,795.91/7,097.53
  6. Step 6: Final answer
    x = 5,677.30

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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.