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Finding the Fourth Proportional to 7,482.80, 11,223.84 and 2,552.24

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Solution

The fourth proportional to 7,482.80, 11,223.84 and 2,552.24 is: 3,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.80 : 11,223.84 = 2,552.24 : x
  2. Step 2: Convert to fraction form
    7,482.80/11,223.84 = 2,552.24/x
  3. Step 3: Cross multiply
    7,482.80x = 11,223.84 × 2,552.24
  4. Step 4: Simplify right side
    7,482.80x = 28,645,933.40
  5. Step 5: Solve for x
    x = 28,645,933.40/7,482.80
  6. Step 6: Final answer
    x = 3,828.24

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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.