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Finding the Fourth Proportional to 7,114.30, 9,974.60 and 7,114.30

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Solution

The fourth proportional to 7,114.30, 9,974.60 and 7,114.30 is: 9,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.30 : 9,974.60 = 7,114.30 : x
  2. Step 2: Convert to fraction form
    7,114.30/9,974.60 = 7,114.30/x
  3. Step 3: Cross multiply
    7,114.30x = 9,974.60 × 7,114.30
  4. Step 4: Simplify right side
    7,114.30x = 70,962,296.78
  5. Step 5: Solve for x
    x = 70,962,296.78/7,114.30
  6. Step 6: Final answer
    x = 9,974.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.