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Finding the Fourth Proportional to 8,666.97, 12,974.94 and 5,369.46

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Solution

The fourth proportional to 8,666.97, 12,974.94 and 5,369.46 is: 8,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.97 : 12,974.94 = 5,369.46 : x
  2. Step 2: Convert to fraction form
    8,666.97/12,974.94 = 5,369.46/x
  3. Step 3: Cross multiply
    8,666.97x = 12,974.94 × 5,369.46
  4. Step 4: Simplify right side
    8,666.97x = 69,668,421.33
  5. Step 5: Solve for x
    x = 69,668,421.33/8,666.97
  6. Step 6: Final answer
    x = 8,038.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.