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Finding the Fourth Proportional to 9,237.68, 12,746.11 and 5,257.74

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Solution

The fourth proportional to 9,237.68, 12,746.11 and 5,257.74 is: 7,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.68 : 12,746.11 = 5,257.74 : x
  2. Step 2: Convert to fraction form
    9,237.68/12,746.11 = 5,257.74/x
  3. Step 3: Cross multiply
    9,237.68x = 12,746.11 × 5,257.74
  4. Step 4: Simplify right side
    9,237.68x = 67,015,776.90
  5. Step 5: Solve for x
    x = 67,015,776.90/9,237.68
  6. Step 6: Final answer
    x = 7,254.61

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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.