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Finding the Fourth Proportional to 7,193.82, 9,928.23 and 4,210.62

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Solution

The fourth proportional to 7,193.82, 9,928.23 and 4,210.62 is: 5,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.82 : 9,928.23 = 4,210.62 : x
  2. Step 2: Convert to fraction form
    7,193.82/9,928.23 = 4,210.62/x
  3. Step 3: Cross multiply
    7,193.82x = 9,928.23 × 4,210.62
  4. Step 4: Simplify right side
    7,193.82x = 41,804,003.80
  5. Step 5: Solve for x
    x = 41,804,003.80/7,193.82
  6. Step 6: Final answer
    x = 5,811.10

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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.