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Finding the Fourth Proportional to 12,075.80, 18,121.80 and 7,140.20

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Solution

The fourth proportional to 12,075.80, 18,121.80 and 7,140.20 is: 10,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.80 : 18,121.80 = 7,140.20 : x
  2. Step 2: Convert to fraction form
    12,075.80/18,121.80 = 7,140.20/x
  3. Step 3: Cross multiply
    12,075.80x = 18,121.80 × 7,140.20
  4. Step 4: Simplify right side
    12,075.80x = 129,393,276.36
  5. Step 5: Solve for x
    x = 129,393,276.36/12,075.80
  6. Step 6: Final answer
    x = 10,715.09

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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.