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Finding the Fourth Proportional to 7,402.56, 10,206.24 and 4,745.28

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Solution

The fourth proportional to 7,402.56, 10,206.24 and 4,745.28 is: 6,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.56 : 10,206.24 = 4,745.28 : x
  2. Step 2: Convert to fraction form
    7,402.56/10,206.24 = 4,745.28/x
  3. Step 3: Cross multiply
    7,402.56x = 10,206.24 × 4,745.28
  4. Step 4: Simplify right side
    7,402.56x = 48,431,466.55
  5. Step 5: Solve for x
    x = 48,431,466.55/7,402.56
  6. Step 6: Final answer
    x = 6,542.53

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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.