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Finding the Fourth Proportional to 11,448, 15,798.24 and 6,735.15

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Solution

The fourth proportional to 11,448, 15,798.24 and 6,735.15 is: 9,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448 : 15,798.24 = 6,735.15 : x
  2. Step 2: Convert to fraction form
    11,448/15,798.24 = 6,735.15/x
  3. Step 3: Cross multiply
    11,448x = 15,798.24 × 6,735.15
  4. Step 4: Simplify right side
    11,448x = 106,403,516.14
  5. Step 5: Solve for x
    x = 106,403,516.14/11,448
  6. Step 6: Final answer
    x = 9,294.51

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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.