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Finding the Fourth Proportional to 8,051.10, 12,076.65 and 6,971.10

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Solution

The fourth proportional to 8,051.10, 12,076.65 and 6,971.10 is: 10,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.10 : 12,076.65 = 6,971.10 : x
  2. Step 2: Convert to fraction form
    8,051.10/12,076.65 = 6,971.10/x
  3. Step 3: Cross multiply
    8,051.10x = 12,076.65 × 6,971.10
  4. Step 4: Simplify right side
    8,051.10x = 84,187,534.82
  5. Step 5: Solve for x
    x = 84,187,534.82/8,051.10
  6. Step 6: Final answer
    x = 10,456.65

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1.5x scale

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.