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Finding the Fourth Proportional to 4,761.78, 6,566.53 and 2,897.62

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Solution

The fourth proportional to 4,761.78, 6,566.53 and 2,897.62 is: 3,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.78 : 6,566.53 = 2,897.62 : x
  2. Step 2: Convert to fraction form
    4,761.78/6,566.53 = 2,897.62/x
  3. Step 3: Cross multiply
    4,761.78x = 6,566.53 × 2,897.62
  4. Step 4: Simplify right side
    4,761.78x = 19,027,308.66
  5. Step 5: Solve for x
    x = 19,027,308.66/4,761.78
  6. Step 6: Final answer
    x = 3,995.84

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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.