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Finding the Fourth Proportional to 7,197.92, 9,933.12 and 4,054.08

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Solution

The fourth proportional to 7,197.92, 9,933.12 and 4,054.08 is: 5,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.92 : 9,933.12 = 4,054.08 : x
  2. Step 2: Convert to fraction form
    7,197.92/9,933.12 = 4,054.08/x
  3. Step 3: Cross multiply
    7,197.92x = 9,933.12 × 4,054.08
  4. Step 4: Simplify right side
    7,197.92x = 40,269,663.13
  5. Step 5: Solve for x
    x = 40,269,663.13/7,197.92
  6. Step 6: Final answer
    x = 5,594.62

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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.