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Finding the Fourth Proportional to 8,469.86, 12,712.54 and 4,312.74

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Solution

The fourth proportional to 8,469.86, 12,712.54 and 4,312.74 is: 6,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.86 : 12,712.54 = 4,312.74 : x
  2. Step 2: Convert to fraction form
    8,469.86/12,712.54 = 4,312.74/x
  3. Step 3: Cross multiply
    8,469.86x = 12,712.54 × 4,312.74
  4. Step 4: Simplify right side
    8,469.86x = 54,825,879.76
  5. Step 5: Solve for x
    x = 54,825,879.76/8,469.86
  6. Step 6: Final answer
    x = 6,473.06

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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.