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Finding the Fourth Proportional to 5,642.90, 8,464.37 and 1,482.56

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Solution

The fourth proportional to 5,642.90, 8,464.37 and 1,482.56 is: 2,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.90 : 8,464.37 = 1,482.56 : x
  2. Step 2: Convert to fraction form
    5,642.90/8,464.37 = 1,482.56/x
  3. Step 3: Cross multiply
    5,642.90x = 8,464.37 × 1,482.56
  4. Step 4: Simplify right side
    5,642.90x = 12,548,950.25
  5. Step 5: Solve for x
    x = 12,548,950.25/5,642.90
  6. Step 6: Final answer
    x = 2,223.85

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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.