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Finding the Fourth Proportional to 10,671.84, 16,038 and 6,291.36

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Solution

The fourth proportional to 10,671.84, 16,038 and 6,291.36 is: 9,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.84 : 16,038 = 6,291.36 : x
  2. Step 2: Convert to fraction form
    10,671.84/16,038 = 6,291.36/x
  3. Step 3: Cross multiply
    10,671.84x = 16,038 × 6,291.36
  4. Step 4: Simplify right side
    10,671.84x = 100,900,831.68
  5. Step 5: Solve for x
    x = 100,900,831.68/10,671.84
  6. Step 6: Final answer
    x = 9,454.87

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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.