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Finding the Fourth Proportional to 7,884, 10,882.08 and 5,369.76

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Solution

The fourth proportional to 7,884, 10,882.08 and 5,369.76 is: 7,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 10,882.08 = 5,369.76 : x
  2. Step 2: Convert to fraction form
    7,884/10,882.08 = 5,369.76/x
  3. Step 3: Cross multiply
    7,884x = 10,882.08 × 5,369.76
  4. Step 4: Simplify right side
    7,884x = 58,434,157.90
  5. Step 5: Solve for x
    x = 58,434,157.90/7,884
  6. Step 6: Final answer
    x = 7,411.74

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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.