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Finding the Fourth Proportional to 7,138.14, 9,850.62 and 4,343.64

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Solution

The fourth proportional to 7,138.14, 9,850.62 and 4,343.64 is: 5,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.14 : 9,850.62 = 4,343.64 : x
  2. Step 2: Convert to fraction form
    7,138.14/9,850.62 = 4,343.64/x
  3. Step 3: Cross multiply
    7,138.14x = 9,850.62 × 4,343.64
  4. Step 4: Simplify right side
    7,138.14x = 42,787,547.06
  5. Step 5: Solve for x
    x = 42,787,547.06/7,138.14
  6. Step 6: Final answer
    x = 5,994.22

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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.