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Finding the Fourth Proportional to 4,886.77, 6,743.64 and 2,648.56

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Solution

The fourth proportional to 4,886.77, 6,743.64 and 2,648.56 is: 3,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.77 : 6,743.64 = 2,648.56 : x
  2. Step 2: Convert to fraction form
    4,886.77/6,743.64 = 2,648.56/x
  3. Step 3: Cross multiply
    4,886.77x = 6,743.64 × 2,648.56
  4. Step 4: Simplify right side
    4,886.77x = 17,860,935.16
  5. Step 5: Solve for x
    x = 17,860,935.16/4,886.77
  6. Step 6: Final answer
    x = 3,654.96

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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.