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Finding the Fourth Proportional to 7,183.47, 9,919.43 and 5,298.32

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Solution

The fourth proportional to 7,183.47, 9,919.43 and 5,298.32 is: 7,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.47 : 9,919.43 = 5,298.32 : x
  2. Step 2: Convert to fraction form
    7,183.47/9,919.43 = 5,298.32/x
  3. Step 3: Cross multiply
    7,183.47x = 9,919.43 × 5,298.32
  4. Step 4: Simplify right side
    7,183.47x = 52,556,314.36
  5. Step 5: Solve for x
    x = 52,556,314.36/7,183.47
  6. Step 6: Final answer
    x = 7,316.29

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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.