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Finding the Fourth Proportional to 6,398.34, 8,831.07 and 4,301.25

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Solution

The fourth proportional to 6,398.34, 8,831.07 and 4,301.25 is: 5,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.34 : 8,831.07 = 4,301.25 : x
  2. Step 2: Convert to fraction form
    6,398.34/8,831.07 = 4,301.25/x
  3. Step 3: Cross multiply
    6,398.34x = 8,831.07 × 4,301.25
  4. Step 4: Simplify right side
    6,398.34x = 37,984,639.84
  5. Step 5: Solve for x
    x = 37,984,639.84/6,398.34
  6. Step 6: Final answer
    x = 5,936.64

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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.