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Finding the Fourth Proportional to 9,242.77, 12,750.28 and 6,257.56

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Solution

The fourth proportional to 9,242.77, 12,750.28 and 6,257.56 is: 8,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.77 : 12,750.28 = 6,257.56 : x
  2. Step 2: Convert to fraction form
    9,242.77/12,750.28 = 6,257.56/x
  3. Step 3: Cross multiply
    9,242.77x = 12,750.28 × 6,257.56
  4. Step 4: Simplify right side
    9,242.77x = 79,785,642.12
  5. Step 5: Solve for x
    x = 79,785,642.12/9,242.77
  6. Step 6: Final answer
    x = 8,632.22

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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.