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Finding the Fourth Proportional to 9,247.46, 12,762 and 5,472.86

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Solution

The fourth proportional to 9,247.46, 12,762 and 5,472.86 is: 7,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.46 : 12,762 = 5,472.86 : x
  2. Step 2: Convert to fraction form
    9,247.46/12,762 = 5,472.86/x
  3. Step 3: Cross multiply
    9,247.46x = 12,762 × 5,472.86
  4. Step 4: Simplify right side
    9,247.46x = 69,844,639.32
  5. Step 5: Solve for x
    x = 69,844,639.32/9,247.46
  6. Step 6: Final answer
    x = 7,552.85

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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.