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Finding the Fourth Proportional to 7,801.44, 11,724.48 and 7,510.56

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Solution

The fourth proportional to 7,801.44, 11,724.48 and 7,510.56 is: 11,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.44 : 11,724.48 = 7,510.56 : x
  2. Step 2: Convert to fraction form
    7,801.44/11,724.48 = 7,510.56/x
  3. Step 3: Cross multiply
    7,801.44x = 11,724.48 × 7,510.56
  4. Step 4: Simplify right side
    7,801.44x = 88,057,410.51
  5. Step 5: Solve for x
    x = 88,057,410.51/7,801.44
  6. Step 6: Final answer
    x = 11,287.33

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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.