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Finding the Fourth Proportional to 4,630.78, 6,946.17 and 4,575.70

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Solution

The fourth proportional to 4,630.78, 6,946.17 and 4,575.70 is: 6,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.78 : 6,946.17 = 4,575.70 : x
  2. Step 2: Convert to fraction form
    4,630.78/6,946.17 = 4,575.70/x
  3. Step 3: Cross multiply
    4,630.78x = 6,946.17 × 4,575.70
  4. Step 4: Simplify right side
    4,630.78x = 31,783,590.07
  5. Step 5: Solve for x
    x = 31,783,590.07/4,630.78
  6. Step 6: Final answer
    x = 6,863.55

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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.