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Finding the Fourth Proportional to 4,755.66, 7,083.34 and 4,542.45

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Solution

The fourth proportional to 4,755.66, 7,083.34 and 4,542.45 is: 6,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.66 : 7,083.34 = 4,542.45 : x
  2. Step 2: Convert to fraction form
    4,755.66/7,083.34 = 4,542.45/x
  3. Step 3: Cross multiply
    4,755.66x = 7,083.34 × 4,542.45
  4. Step 4: Simplify right side
    4,755.66x = 32,175,706.43
  5. Step 5: Solve for x
    x = 32,175,706.43/4,755.66
  6. Step 6: Final answer
    x = 6,765.77

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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.