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Finding the Fourth Proportional to 8,293.78, 12,448.77 and 6,464.80

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Solution

The fourth proportional to 8,293.78, 12,448.77 and 6,464.80 is: 9,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.78 : 12,448.77 = 6,464.80 : x
  2. Step 2: Convert to fraction form
    8,293.78/12,448.77 = 6,464.80/x
  3. Step 3: Cross multiply
    8,293.78x = 12,448.77 × 6,464.80
  4. Step 4: Simplify right side
    8,293.78x = 80,478,808.30
  5. Step 5: Solve for x
    x = 80,478,808.30/8,293.78
  6. Step 6: Final answer
    x = 9,703.51

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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.