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Finding the Fourth Proportional to 7,012.67, 9,677.73 and 4,029.05

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Solution

The fourth proportional to 7,012.67, 9,677.73 and 4,029.05 is: 5,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.67 : 9,677.73 = 4,029.05 : x
  2. Step 2: Convert to fraction form
    7,012.67/9,677.73 = 4,029.05/x
  3. Step 3: Cross multiply
    7,012.67x = 9,677.73 × 4,029.05
  4. Step 4: Simplify right side
    7,012.67x = 38,992,058.06
  5. Step 5: Solve for x
    x = 38,992,058.06/7,012.67
  6. Step 6: Final answer
    x = 5,560.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.