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Finding the Fourth Proportional to 4,761.54, 7,186.82 and 4,761.54

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Solution

The fourth proportional to 4,761.54, 7,186.82 and 4,761.54 is: 7,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.54 : 7,186.82 = 4,761.54 : x
  2. Step 2: Convert to fraction form
    4,761.54/7,186.82 = 4,761.54/x
  3. Step 3: Cross multiply
    4,761.54x = 7,186.82 × 4,761.54
  4. Step 4: Simplify right side
    4,761.54x = 34,220,307.10
  5. Step 5: Solve for x
    x = 34,220,307.10/4,761.54
  6. Step 6: Final answer
    x = 7,186.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.