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Finding the Fourth Proportional to 7,193.44, 9,924.57 and 4,207.16

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Solution

The fourth proportional to 7,193.44, 9,924.57 and 4,207.16 is: 5,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.44 : 9,924.57 = 4,207.16 : x
  2. Step 2: Convert to fraction form
    7,193.44/9,924.57 = 4,207.16/x
  3. Step 3: Cross multiply
    7,193.44x = 9,924.57 × 4,207.16
  4. Step 4: Simplify right side
    7,193.44x = 41,754,253.92
  5. Step 5: Solve for x
    x = 41,754,253.92/7,193.44
  6. Step 6: Final answer
    x = 5,804.49

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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.