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Finding the Fourth Proportional to 27,614.40, 41,410.80 and 10,075.20

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Solution

The fourth proportional to 27,614.40, 41,410.80 and 10,075.20 is: 15,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.40 : 41,410.80 = 10,075.20 : x
  2. Step 2: Convert to fraction form
    27,614.40/41,410.80 = 10,075.20/x
  3. Step 3: Cross multiply
    27,614.40x = 41,410.80 × 10,075.20
  4. Step 4: Simplify right side
    27,614.40x = 417,222,092.16
  5. Step 5: Solve for x
    x = 417,222,092.16/27,614.40
  6. Step 6: Final answer
    x = 15,108.86

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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.