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Finding the Fourth Proportional to 4,951.29, 6,830.82 and 2,961.12

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Solution

The fourth proportional to 4,951.29, 6,830.82 and 2,961.12 is: 4,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.29 : 6,830.82 = 2,961.12 : x
  2. Step 2: Convert to fraction form
    4,951.29/6,830.82 = 2,961.12/x
  3. Step 3: Cross multiply
    4,951.29x = 6,830.82 × 2,961.12
  4. Step 4: Simplify right side
    4,951.29x = 20,226,877.72
  5. Step 5: Solve for x
    x = 20,226,877.72/4,951.29
  6. Step 6: Final answer
    x = 4,085.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.