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Finding the Fourth Proportional to 12,846.40, 19,280.40 and 6,278.20

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Solution

The fourth proportional to 12,846.40, 19,280.40 and 6,278.20 is: 9,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.40 : 19,280.40 = 6,278.20 : x
  2. Step 2: Convert to fraction form
    12,846.40/19,280.40 = 6,278.20/x
  3. Step 3: Cross multiply
    12,846.40x = 19,280.40 × 6,278.20
  4. Step 4: Simplify right side
    12,846.40x = 121,046,207.28
  5. Step 5: Solve for x
    x = 121,046,207.28/12,846.40
  6. Step 6: Final answer
    x = 9,422.58

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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.