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Finding the Fourth Proportional to 7,937.84, 10,949.23 and 5,108.88

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Solution

The fourth proportional to 7,937.84, 10,949.23 and 5,108.88 is: 7,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.84 : 10,949.23 = 5,108.88 : x
  2. Step 2: Convert to fraction form
    7,937.84/10,949.23 = 5,108.88/x
  3. Step 3: Cross multiply
    7,937.84x = 10,949.23 × 5,108.88
  4. Step 4: Simplify right side
    7,937.84x = 55,938,289.39
  5. Step 5: Solve for x
    x = 55,938,289.39/7,937.84
  6. Step 6: Final answer
    x = 7,047.04

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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.