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Finding the Fourth Proportional to 10,791.20, 14,892.72 and 6,075.20

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Solution

The fourth proportional to 10,791.20, 14,892.72 and 6,075.20 is: 8,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.20 : 14,892.72 = 6,075.20 : x
  2. Step 2: Convert to fraction form
    10,791.20/14,892.72 = 6,075.20/x
  3. Step 3: Cross multiply
    10,791.20x = 14,892.72 × 6,075.20
  4. Step 4: Simplify right side
    10,791.20x = 90,476,252.54
  5. Step 5: Solve for x
    x = 90,476,252.54/10,791.20
  6. Step 6: Final answer
    x = 8,384.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.