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Finding the Fourth Proportional to 6,981.66, 10,472.49 and 2,051.46

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Solution

The fourth proportional to 6,981.66, 10,472.49 and 2,051.46 is: 3,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.66 : 10,472.49 = 2,051.46 : x
  2. Step 2: Convert to fraction form
    6,981.66/10,472.49 = 2,051.46/x
  3. Step 3: Cross multiply
    6,981.66x = 10,472.49 × 2,051.46
  4. Step 4: Simplify right side
    6,981.66x = 21,483,894.34
  5. Step 5: Solve for x
    x = 21,483,894.34/6,981.66
  6. Step 6: Final answer
    x = 3,077.19

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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.