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Finding the Fourth Proportional to 7,051.73, 9,731.38 and 4,219.22

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Solution

The fourth proportional to 7,051.73, 9,731.38 and 4,219.22 is: 5,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.73 : 9,731.38 = 4,219.22 : x
  2. Step 2: Convert to fraction form
    7,051.73/9,731.38 = 4,219.22/x
  3. Step 3: Cross multiply
    7,051.73x = 9,731.38 × 4,219.22
  4. Step 4: Simplify right side
    7,051.73x = 41,058,833.12
  5. Step 5: Solve for x
    x = 41,058,833.12/7,051.73
  6. Step 6: Final answer
    x = 5,822.52

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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.