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Finding the Fourth Proportional to 9,251, 12,772.54 and 5,475.37

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Solution

The fourth proportional to 9,251, 12,772.54 and 5,475.37 is: 7,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251 : 12,772.54 = 5,475.37 : x
  2. Step 2: Convert to fraction form
    9,251/12,772.54 = 5,475.37/x
  3. Step 3: Cross multiply
    9,251x = 12,772.54 × 5,475.37
  4. Step 4: Simplify right side
    9,251x = 69,934,382.34
  5. Step 5: Solve for x
    x = 69,934,382.34/9,251
  6. Step 6: Final answer
    x = 7,559.66

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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.