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Finding the Fourth Proportional to 8,588.16, 11,831.43 and 8,071.48

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Solution

The fourth proportional to 8,588.16, 11,831.43 and 8,071.48 is: 11,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.16 : 11,831.43 = 8,071.48 : x
  2. Step 2: Convert to fraction form
    8,588.16/11,831.43 = 8,071.48/x
  3. Step 3: Cross multiply
    8,588.16x = 11,831.43 × 8,071.48
  4. Step 4: Simplify right side
    8,588.16x = 95,497,150.62
  5. Step 5: Solve for x
    x = 95,497,150.62/8,588.16
  6. Step 6: Final answer
    x = 11,119.63

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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.