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Finding the Fourth Proportional to 16,710, 25,061.94 and 6,178.38

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Solution

The fourth proportional to 16,710, 25,061.94 and 6,178.38 is: 9,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710 : 25,061.94 = 6,178.38 : x
  2. Step 2: Convert to fraction form
    16,710/25,061.94 = 6,178.38/x
  3. Step 3: Cross multiply
    16,710x = 25,061.94 × 6,178.38
  4. Step 4: Simplify right side
    16,710x = 154,842,188.86
  5. Step 5: Solve for x
    x = 154,842,188.86/16,710
  6. Step 6: Final answer
    x = 9,266.44

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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.