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Finding the Fourth Proportional to 7,967.05, 10,983.13 and 5,313.49

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Solution

The fourth proportional to 7,967.05, 10,983.13 and 5,313.49 is: 7,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.05 : 10,983.13 = 5,313.49 : x
  2. Step 2: Convert to fraction form
    7,967.05/10,983.13 = 5,313.49/x
  3. Step 3: Cross multiply
    7,967.05x = 10,983.13 × 5,313.49
  4. Step 4: Simplify right side
    7,967.05x = 58,358,751.42
  5. Step 5: Solve for x
    x = 58,358,751.42/7,967.05
  6. Step 6: Final answer
    x = 7,325.01

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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.