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Finding the Fourth Proportional to 8,368.32, 11,548.17 and 4,831.46

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Solution

The fourth proportional to 8,368.32, 11,548.17 and 4,831.46 is: 6,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.32 : 11,548.17 = 4,831.46 : x
  2. Step 2: Convert to fraction form
    8,368.32/11,548.17 = 4,831.46/x
  3. Step 3: Cross multiply
    8,368.32x = 11,548.17 × 4,831.46
  4. Step 4: Simplify right side
    8,368.32x = 55,794,463.69
  5. Step 5: Solve for x
    x = 55,794,463.69/8,368.32
  6. Step 6: Final answer
    x = 6,667.34

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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.