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Finding the Fourth Proportional to 9,292.76, 12,824.10 and 5,043.86

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Solution

The fourth proportional to 9,292.76, 12,824.10 and 5,043.86 is: 6,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.76 : 12,824.10 = 5,043.86 : x
  2. Step 2: Convert to fraction form
    9,292.76/12,824.10 = 5,043.86/x
  3. Step 3: Cross multiply
    9,292.76x = 12,824.10 × 5,043.86
  4. Step 4: Simplify right side
    9,292.76x = 64,682,900.91
  5. Step 5: Solve for x
    x = 64,682,900.91/9,292.76
  6. Step 6: Final answer
    x = 6,960.57

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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.