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Finding the Fourth Proportional to 7,118.73, 9,823.32 and 4,286.52

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Solution

The fourth proportional to 7,118.73, 9,823.32 and 4,286.52 is: 5,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.73 : 9,823.32 = 4,286.52 : x
  2. Step 2: Convert to fraction form
    7,118.73/9,823.32 = 4,286.52/x
  3. Step 3: Cross multiply
    7,118.73x = 9,823.32 × 4,286.52
  4. Step 4: Simplify right side
    7,118.73x = 42,107,857.65
  5. Step 5: Solve for x
    x = 42,107,857.65/7,118.73
  6. Step 6: Final answer
    x = 5,915.08

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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.