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Finding the Fourth Proportional to 6,977.37, 9,610.05 and 6,451.86

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Solution

The fourth proportional to 6,977.37, 9,610.05 and 6,451.86 is: 8,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.37 : 9,610.05 = 6,451.86 : x
  2. Step 2: Convert to fraction form
    6,977.37/9,610.05 = 6,451.86/x
  3. Step 3: Cross multiply
    6,977.37x = 9,610.05 × 6,451.86
  4. Step 4: Simplify right side
    6,977.37x = 62,002,697.19
  5. Step 5: Solve for x
    x = 62,002,697.19/6,977.37
  6. Step 6: Final answer
    x = 8,886.26

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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.