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Finding the Fourth Proportional to 7,672.34, 10,593.16 and 5,023.46

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Solution

The fourth proportional to 7,672.34, 10,593.16 and 5,023.46 is: 6,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.34 : 10,593.16 = 5,023.46 : x
  2. Step 2: Convert to fraction form
    7,672.34/10,593.16 = 5,023.46/x
  3. Step 3: Cross multiply
    7,672.34x = 10,593.16 × 5,023.46
  4. Step 4: Simplify right side
    7,672.34x = 53,214,315.53
  5. Step 5: Solve for x
    x = 53,214,315.53/7,672.34
  6. Step 6: Final answer
    x = 6,935.87

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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.