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Finding the Fourth Proportional to 7,164.95, 10,748.97 and 2,948.22

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Solution

The fourth proportional to 7,164.95, 10,748.97 and 2,948.22 is: 4,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.95 : 10,748.97 = 2,948.22 : x
  2. Step 2: Convert to fraction form
    7,164.95/10,748.97 = 2,948.22/x
  3. Step 3: Cross multiply
    7,164.95x = 10,748.97 × 2,948.22
  4. Step 4: Simplify right side
    7,164.95x = 31,690,328.33
  5. Step 5: Solve for x
    x = 31,690,328.33/7,164.95
  6. Step 6: Final answer
    x = 4,422.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.