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Finding the Fourth Proportional to 6,470.86, 9,703.88 and 2,309.75

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Solution

The fourth proportional to 6,470.86, 9,703.88 and 2,309.75 is: 3,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.86 : 9,703.88 = 2,309.75 : x
  2. Step 2: Convert to fraction form
    6,470.86/9,703.88 = 2,309.75/x
  3. Step 3: Cross multiply
    6,470.86x = 9,703.88 × 2,309.75
  4. Step 4: Simplify right side
    6,470.86x = 22,413,536.83
  5. Step 5: Solve for x
    x = 22,413,536.83/6,470.86
  6. Step 6: Final answer
    x = 3,463.77

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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.