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Finding the Fourth Proportional to 4,266.84, 6,400.42 and 1,345.16

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Solution

The fourth proportional to 4,266.84, 6,400.42 and 1,345.16 is: 2,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.84 : 6,400.42 = 1,345.16 : x
  2. Step 2: Convert to fraction form
    4,266.84/6,400.42 = 1,345.16/x
  3. Step 3: Cross multiply
    4,266.84x = 6,400.42 × 1,345.16
  4. Step 4: Simplify right side
    4,266.84x = 8,609,588.97
  5. Step 5: Solve for x
    x = 8,609,588.97/4,266.84
  6. Step 6: Final answer
    x = 2,017.79

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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.