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Finding the Fourth Proportional to 4,266.80, 6,400.20 and 4,065.20

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Solution

The fourth proportional to 4,266.80, 6,400.20 and 4,065.20 is: 6,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.80 : 6,400.20 = 4,065.20 : x
  2. Step 2: Convert to fraction form
    4,266.80/6,400.20 = 4,065.20/x
  3. Step 3: Cross multiply
    4,266.80x = 6,400.20 × 4,065.20
  4. Step 4: Simplify right side
    4,266.80x = 26,018,093.04
  5. Step 5: Solve for x
    x = 26,018,093.04/4,266.80
  6. Step 6: Final answer
    x = 6,097.80

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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.