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Finding the Fourth Proportional to 9,295.66, 12,823.25 and 5,934.94

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Solution

The fourth proportional to 9,295.66, 12,823.25 and 5,934.94 is: 8,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.66 : 12,823.25 = 5,934.94 : x
  2. Step 2: Convert to fraction form
    9,295.66/12,823.25 = 5,934.94/x
  3. Step 3: Cross multiply
    9,295.66x = 12,823.25 × 5,934.94
  4. Step 4: Simplify right side
    9,295.66x = 76,105,179.88
  5. Step 5: Solve for x
    x = 76,105,179.88/9,295.66
  6. Step 6: Final answer
    x = 8,187.18

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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.