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Finding the Fourth Proportional to 6,097.78, 8,407.29 and 4,977.58

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Solution

The fourth proportional to 6,097.78, 8,407.29 and 4,977.58 is: 6,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.78 : 8,407.29 = 4,977.58 : x
  2. Step 2: Convert to fraction form
    6,097.78/8,407.29 = 4,977.58/x
  3. Step 3: Cross multiply
    6,097.78x = 8,407.29 × 4,977.58
  4. Step 4: Simplify right side
    6,097.78x = 41,847,958.56
  5. Step 5: Solve for x
    x = 41,847,958.56/6,097.78
  6. Step 6: Final answer
    x = 6,862.82

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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.