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Finding the Fourth Proportional to 4,612.42, 6,913.83 and 3,454.66

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Solution

The fourth proportional to 4,612.42, 6,913.83 and 3,454.66 is: 5,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.42 : 6,913.83 = 3,454.66 : x
  2. Step 2: Convert to fraction form
    4,612.42/6,913.83 = 3,454.66/x
  3. Step 3: Cross multiply
    4,612.42x = 6,913.83 × 3,454.66
  4. Step 4: Simplify right side
    4,612.42x = 23,884,931.95
  5. Step 5: Solve for x
    x = 23,884,931.95/4,612.42
  6. Step 6: Final answer
    x = 5,178.39

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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.