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Finding the Fourth Proportional to 5,143.68, 7,112.25 and 5,060.25

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Solution

The fourth proportional to 5,143.68, 7,112.25 and 5,060.25 is: 6,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.68 : 7,112.25 = 5,060.25 : x
  2. Step 2: Convert to fraction form
    5,143.68/7,112.25 = 5,060.25/x
  3. Step 3: Cross multiply
    5,143.68x = 7,112.25 × 5,060.25
  4. Step 4: Simplify right side
    5,143.68x = 35,989,763.06
  5. Step 5: Solve for x
    x = 35,989,763.06/5,143.68
  6. Step 6: Final answer
    x = 6,996.89

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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.