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Finding the Fourth Proportional to 7,226.84, 9,971.73 and 4,040.19

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Solution

The fourth proportional to 7,226.84, 9,971.73 and 4,040.19 is: 5,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.84 : 9,971.73 = 4,040.19 : x
  2. Step 2: Convert to fraction form
    7,226.84/9,971.73 = 4,040.19/x
  3. Step 3: Cross multiply
    7,226.84x = 9,971.73 × 4,040.19
  4. Step 4: Simplify right side
    7,226.84x = 40,287,721.22
  5. Step 5: Solve for x
    x = 40,287,721.22/7,226.84
  6. Step 6: Final answer
    x = 5,574.74

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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.