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Finding the Fourth Proportional to 12,775.13, 19,165 and 5,278.70

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Solution

The fourth proportional to 12,775.13, 19,165 and 5,278.70 is: 7,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.13 : 19,165 = 5,278.70 : x
  2. Step 2: Convert to fraction form
    12,775.13/19,165 = 5,278.70/x
  3. Step 3: Cross multiply
    12,775.13x = 19,165 × 5,278.70
  4. Step 4: Simplify right side
    12,775.13x = 101,166,189.68
  5. Step 5: Solve for x
    x = 101,166,189.68/12,775.13
  6. Step 6: Final answer
    x = 7,919.00

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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.