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Finding the Fourth Proportional to 9,292.48, 12,829.44 and 6,462.88

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Solution

The fourth proportional to 9,292.48, 12,829.44 and 6,462.88 is: 8,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.48 : 12,829.44 = 6,462.88 : x
  2. Step 2: Convert to fraction form
    9,292.48/12,829.44 = 6,462.88/x
  3. Step 3: Cross multiply
    9,292.48x = 12,829.44 × 6,462.88
  4. Step 4: Simplify right side
    9,292.48x = 82,915,131.19
  5. Step 5: Solve for x
    x = 82,915,131.19/9,292.48
  6. Step 6: Final answer
    x = 8,922.82

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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.