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Finding the Fourth Proportional to 6,983.35, 10,475.10 and 2,053.09

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Solution

The fourth proportional to 6,983.35, 10,475.10 and 2,053.09 is: 3,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.35 : 10,475.10 = 2,053.09 : x
  2. Step 2: Convert to fraction form
    6,983.35/10,475.10 = 2,053.09/x
  3. Step 3: Cross multiply
    6,983.35x = 10,475.10 × 2,053.09
  4. Step 4: Simplify right side
    6,983.35x = 21,506,323.06
  5. Step 5: Solve for x
    x = 21,506,323.06/6,983.35
  6. Step 6: Final answer
    x = 3,079.66

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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.