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Finding the Fourth Proportional to 7,874.72, 10,867.11 and 4,338.16

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Solution

The fourth proportional to 7,874.72, 10,867.11 and 4,338.16 is: 5,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.72 : 10,867.11 = 4,338.16 : x
  2. Step 2: Convert to fraction form
    7,874.72/10,867.11 = 4,338.16/x
  3. Step 3: Cross multiply
    7,874.72x = 10,867.11 × 4,338.16
  4. Step 4: Simplify right side
    7,874.72x = 47,143,242.88
  5. Step 5: Solve for x
    x = 47,143,242.88/7,874.72
  6. Step 6: Final answer
    x = 5,986.66

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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.