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Finding the Fourth Proportional to 4,862.42, 7,294.92 and 1,742.74

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Solution

The fourth proportional to 4,862.42, 7,294.92 and 1,742.74 is: 2,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.42 : 7,294.92 = 1,742.74 : x
  2. Step 2: Convert to fraction form
    4,862.42/7,294.92 = 1,742.74/x
  3. Step 3: Cross multiply
    4,862.42x = 7,294.92 × 1,742.74
  4. Step 4: Simplify right side
    4,862.42x = 12,713,137.18
  5. Step 5: Solve for x
    x = 12,713,137.18/4,862.42
  6. Step 6: Final answer
    x = 2,614.57

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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.