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Finding the Fourth Proportional to 12,877.40, 19,295.40 and 7,314.20

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Solution

The fourth proportional to 12,877.40, 19,295.40 and 7,314.20 is: 10,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.40 : 19,295.40 = 7,314.20 : x
  2. Step 2: Convert to fraction form
    12,877.40/19,295.40 = 7,314.20/x
  3. Step 3: Cross multiply
    12,877.40x = 19,295.40 × 7,314.20
  4. Step 4: Simplify right side
    12,877.40x = 141,130,414.68
  5. Step 5: Solve for x
    x = 141,130,414.68/12,877.40
  6. Step 6: Final answer
    x = 10,959.54

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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.