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Finding the Fourth Proportional to 8,587.81, 11,839.54 and 7,342.24

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Solution

The fourth proportional to 8,587.81, 11,839.54 and 7,342.24 is: 10,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.81 : 11,839.54 = 7,342.24 : x
  2. Step 2: Convert to fraction form
    8,587.81/11,839.54 = 7,342.24/x
  3. Step 3: Cross multiply
    8,587.81x = 11,839.54 × 7,342.24
  4. Step 4: Simplify right side
    8,587.81x = 86,928,707.46
  5. Step 5: Solve for x
    x = 86,928,707.46/8,587.81
  6. Step 6: Final answer
    x = 10,122.34

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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.