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Finding the Fourth Proportional to 6,512.97, 9,733.70 and 4,761.66

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Solution

The fourth proportional to 6,512.97, 9,733.70 and 4,761.66 is: 7,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.97 : 9,733.70 = 4,761.66 : x
  2. Step 2: Convert to fraction form
    6,512.97/9,733.70 = 4,761.66/x
  3. Step 3: Cross multiply
    6,512.97x = 9,733.70 × 4,761.66
  4. Step 4: Simplify right side
    6,512.97x = 46,348,569.94
  5. Step 5: Solve for x
    x = 46,348,569.94/6,512.97
  6. Step 6: Final answer
    x = 7,116.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.