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Finding the Fourth Proportional to 7,293.84, 10,883.85 and 6,508.44

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Solution

The fourth proportional to 7,293.84, 10,883.85 and 6,508.44 is: 9,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.84 : 10,883.85 = 6,508.44 : x
  2. Step 2: Convert to fraction form
    7,293.84/10,883.85 = 6,508.44/x
  3. Step 3: Cross multiply
    7,293.84x = 10,883.85 × 6,508.44
  4. Step 4: Simplify right side
    7,293.84x = 70,836,884.69
  5. Step 5: Solve for x
    x = 70,836,884.69/7,293.84
  6. Step 6: Final answer
    x = 9,711.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.