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Finding the Fourth Proportional to 14,470, 21,707.82 and 6,149.92

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Solution

The fourth proportional to 14,470, 21,707.82 and 6,149.92 is: 9,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470 : 21,707.82 = 6,149.92 : x
  2. Step 2: Convert to fraction form
    14,470/21,707.82 = 6,149.92/x
  3. Step 3: Cross multiply
    14,470x = 21,707.82 × 6,149.92
  4. Step 4: Simplify right side
    14,470x = 133,501,356.37
  5. Step 5: Solve for x
    x = 133,501,356.37/14,470
  6. Step 6: Final answer
    x = 9,226.08

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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.