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Finding the Fourth Proportional to 11,232, 15,505.92 and 7,044.48

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Solution

The fourth proportional to 11,232, 15,505.92 and 7,044.48 is: 9,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232 : 15,505.92 = 7,044.48 : x
  2. Step 2: Convert to fraction form
    11,232/15,505.92 = 7,044.48/x
  3. Step 3: Cross multiply
    11,232x = 15,505.92 × 7,044.48
  4. Step 4: Simplify right side
    11,232x = 109,231,143.32
  5. Step 5: Solve for x
    x = 109,231,143.32/11,232
  6. Step 6: Final answer
    x = 9,724.99

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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.