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Finding the Fourth Proportional to 8,974.25, 12,384.47 and 5,248.25

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Solution

The fourth proportional to 8,974.25, 12,384.47 and 5,248.25 is: 7,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.25 : 12,384.47 = 5,248.25 : x
  2. Step 2: Convert to fraction form
    8,974.25/12,384.47 = 5,248.25/x
  3. Step 3: Cross multiply
    8,974.25x = 12,384.47 × 5,248.25
  4. Step 4: Simplify right side
    8,974.25x = 64,996,768.44
  5. Step 5: Solve for x
    x = 64,996,768.44/8,974.25
  6. Step 6: Final answer
    x = 7,242.59

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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.