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Finding the Fourth Proportional to 8,974.49, 12,368.64 and 7,301.43

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Solution

The fourth proportional to 8,974.49, 12,368.64 and 7,301.43 is: 10,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.49 : 12,368.64 = 7,301.43 : x
  2. Step 2: Convert to fraction form
    8,974.49/12,368.64 = 7,301.43/x
  3. Step 3: Cross multiply
    8,974.49x = 12,368.64 × 7,301.43
  4. Step 4: Simplify right side
    8,974.49x = 90,308,759.16
  5. Step 5: Solve for x
    x = 90,308,759.16/8,974.49
  6. Step 6: Final answer
    x = 10,062.83

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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.