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Finding the Fourth Proportional to 11,525.28, 15,905.06 and 7,048.07

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Solution

The fourth proportional to 11,525.28, 15,905.06 and 7,048.07 is: 9,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.28 : 15,905.06 = 7,048.07 : x
  2. Step 2: Convert to fraction form
    11,525.28/15,905.06 = 7,048.07/x
  3. Step 3: Cross multiply
    11,525.28x = 15,905.06 × 7,048.07
  4. Step 4: Simplify right side
    11,525.28x = 112,099,976.23
  5. Step 5: Solve for x
    x = 112,099,976.23/11,525.28
  6. Step 6: Final answer
    x = 9,726.44

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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.