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Finding the Fourth Proportional to 7,919.71, 10,930.97 and 4,563.11

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Solution

The fourth proportional to 7,919.71, 10,930.97 and 4,563.11 is: 6,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.71 : 10,930.97 = 4,563.11 : x
  2. Step 2: Convert to fraction form
    7,919.71/10,930.97 = 4,563.11/x
  3. Step 3: Cross multiply
    7,919.71x = 10,930.97 × 4,563.11
  4. Step 4: Simplify right side
    7,919.71x = 49,879,257.25
  5. Step 5: Solve for x
    x = 49,879,257.25/7,919.71
  6. Step 6: Final answer
    x = 6,298.12

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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.