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Finding the Fourth Proportional to 4,561.40, 6,842.10 and 2,617.40

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Solution

The fourth proportional to 4,561.40, 6,842.10 and 2,617.40 is: 3,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.40 : 6,842.10 = 2,617.40 : x
  2. Step 2: Convert to fraction form
    4,561.40/6,842.10 = 2,617.40/x
  3. Step 3: Cross multiply
    4,561.40x = 6,842.10 × 2,617.40
  4. Step 4: Simplify right side
    4,561.40x = 17,908,512.54
  5. Step 5: Solve for x
    x = 17,908,512.54/4,561.40
  6. Step 6: Final answer
    x = 3,926.10

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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.