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Finding the Fourth Proportional to 6,977.87, 9,610.74 and 6,452.36

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Solution

The fourth proportional to 6,977.87, 9,610.74 and 6,452.36 is: 8,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.87 : 9,610.74 = 6,452.36 : x
  2. Step 2: Convert to fraction form
    6,977.87/9,610.74 = 6,452.36/x
  3. Step 3: Cross multiply
    6,977.87x = 9,610.74 × 6,452.36
  4. Step 4: Simplify right side
    6,977.87x = 62,011,954.35
  5. Step 5: Solve for x
    x = 62,011,954.35/6,977.87
  6. Step 6: Final answer
    x = 8,886.95

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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.