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Finding the Fourth Proportional to 8,470.69, 11,695.38 and 6,477.77

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Solution

The fourth proportional to 8,470.69, 11,695.38 and 6,477.77 is: 8,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.69 : 11,695.38 = 6,477.77 : x
  2. Step 2: Convert to fraction form
    8,470.69/11,695.38 = 6,477.77/x
  3. Step 3: Cross multiply
    8,470.69x = 11,695.38 × 6,477.77
  4. Step 4: Simplify right side
    8,470.69x = 75,759,981.70
  5. Step 5: Solve for x
    x = 75,759,981.70/8,470.69
  6. Step 6: Final answer
    x = 8,943.78

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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.