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Finding the Fourth Proportional to 6,461.86, 9,697.62 and 2,513.74

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Solution

The fourth proportional to 6,461.86, 9,697.62 and 2,513.74 is: 3,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.86 : 9,697.62 = 2,513.74 : x
  2. Step 2: Convert to fraction form
    6,461.86/9,697.62 = 2,513.74/x
  3. Step 3: Cross multiply
    6,461.86x = 9,697.62 × 2,513.74
  4. Step 4: Simplify right side
    6,461.86x = 24,377,295.30
  5. Step 5: Solve for x
    x = 24,377,295.30/6,461.86
  6. Step 6: Final answer
    x = 3,772.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.