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Finding the Fourth Proportional to 8,407.86, 11,602.85 and 4,873.12

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Solution

The fourth proportional to 8,407.86, 11,602.85 and 4,873.12 is: 6,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.86 : 11,602.85 = 4,873.12 : x
  2. Step 2: Convert to fraction form
    8,407.86/11,602.85 = 4,873.12/x
  3. Step 3: Cross multiply
    8,407.86x = 11,602.85 × 4,873.12
  4. Step 4: Simplify right side
    8,407.86x = 56,542,076.62
  5. Step 5: Solve for x
    x = 56,542,076.62/8,407.86
  6. Step 6: Final answer
    x = 6,724.91

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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.