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Finding the Fourth Proportional to 12,967.80, 19,438.74 and 6,398.70

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Solution

The fourth proportional to 12,967.80, 19,438.74 and 6,398.70 is: 9,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.80 : 19,438.74 = 6,398.70 : x
  2. Step 2: Convert to fraction form
    12,967.80/19,438.74 = 6,398.70/x
  3. Step 3: Cross multiply
    12,967.80x = 19,438.74 × 6,398.70
  4. Step 4: Simplify right side
    12,967.80x = 124,382,665.64
  5. Step 5: Solve for x
    x = 124,382,665.64/12,967.80
  6. Step 6: Final answer
    x = 9,591.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.