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Finding the Fourth Proportional to 7,315.20, 10,970.10 and 3,616.20

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Solution

The fourth proportional to 7,315.20, 10,970.10 and 3,616.20 is: 5,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.20 : 10,970.10 = 3,616.20 : x
  2. Step 2: Convert to fraction form
    7,315.20/10,970.10 = 3,616.20/x
  3. Step 3: Cross multiply
    7,315.20x = 10,970.10 × 3,616.20
  4. Step 4: Simplify right side
    7,315.20x = 39,670,075.62
  5. Step 5: Solve for x
    x = 39,670,075.62/7,315.20
  6. Step 6: Final answer
    x = 5,422.97

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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.