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Finding the Fourth Proportional to 15,995.44, 22,074 and 9,281.44

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Solution

The fourth proportional to 15,995.44, 22,074 and 9,281.44 is: 12,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,995.44 : 22,074 = 9,281.44 : x
  2. Step 2: Convert to fraction form
    15,995.44/22,074 = 9,281.44/x
  3. Step 3: Cross multiply
    15,995.44x = 22,074 × 9,281.44
  4. Step 4: Simplify right side
    15,995.44x = 204,878,506.56
  5. Step 5: Solve for x
    x = 204,878,506.56/15,995.44
  6. Step 6: Final answer
    x = 12,808.56

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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.