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Finding the Fourth Proportional to 22,712.80, 34,069.20 and 6,075.40

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Solution

The fourth proportional to 22,712.80, 34,069.20 and 6,075.40 is: 9,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.80 : 34,069.20 = 6,075.40 : x
  2. Step 2: Convert to fraction form
    22,712.80/34,069.20 = 6,075.40/x
  3. Step 3: Cross multiply
    22,712.80x = 34,069.20 × 6,075.40
  4. Step 4: Simplify right side
    22,712.80x = 206,984,017.68
  5. Step 5: Solve for x
    x = 206,984,017.68/22,712.80
  6. Step 6: Final answer
    x = 9,113.10

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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.