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Finding the Fourth Proportional to 6,454.68, 9,679.74 and 2,941.74

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Solution

The fourth proportional to 6,454.68, 9,679.74 and 2,941.74 is: 4,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.68 : 9,679.74 = 2,941.74 : x
  2. Step 2: Convert to fraction form
    6,454.68/9,679.74 = 2,941.74/x
  3. Step 3: Cross multiply
    6,454.68x = 9,679.74 × 2,941.74
  4. Step 4: Simplify right side
    6,454.68x = 28,475,278.35
  5. Step 5: Solve for x
    x = 28,475,278.35/6,454.68
  6. Step 6: Final answer
    x = 4,411.57

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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.