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Finding the Fourth Proportional to 7,228.81, 9,972.32 and 4,203.92

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Solution

The fourth proportional to 7,228.81, 9,972.32 and 4,203.92 is: 5,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.81 : 9,972.32 = 4,203.92 : x
  2. Step 2: Convert to fraction form
    7,228.81/9,972.32 = 4,203.92/x
  3. Step 3: Cross multiply
    7,228.81x = 9,972.32 × 4,203.92
  4. Step 4: Simplify right side
    7,228.81x = 41,922,783.31
  5. Step 5: Solve for x
    x = 41,922,783.31/7,228.81
  6. Step 6: Final answer
    x = 5,799.40

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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.