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Finding the Fourth Proportional to 7,151.63, 10,729.06 and 2,534.63

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Solution

The fourth proportional to 7,151.63, 10,729.06 and 2,534.63 is: 3,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.63 : 10,729.06 = 2,534.63 : x
  2. Step 2: Convert to fraction form
    7,151.63/10,729.06 = 2,534.63/x
  3. Step 3: Cross multiply
    7,151.63x = 10,729.06 × 2,534.63
  4. Step 4: Simplify right side
    7,151.63x = 27,194,143.70
  5. Step 5: Solve for x
    x = 27,194,143.70/7,151.63
  6. Step 6: Final answer
    x = 3,802.51

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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.