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Finding the Fourth Proportional to 10,249.64, 15,362.94 and 5,059.16

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Solution

The fourth proportional to 10,249.64, 15,362.94 and 5,059.16 is: 7,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.64 : 15,362.94 = 5,059.16 : x
  2. Step 2: Convert to fraction form
    10,249.64/15,362.94 = 5,059.16/x
  3. Step 3: Cross multiply
    10,249.64x = 15,362.94 × 5,059.16
  4. Step 4: Simplify right side
    10,249.64x = 77,723,571.53
  5. Step 5: Solve for x
    x = 77,723,571.53/10,249.64
  6. Step 6: Final answer
    x = 7,583.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.