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Finding the Fourth Proportional to 11,706.03, 16,154.64 and 6,401.16

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Solution

The fourth proportional to 11,706.03, 16,154.64 and 6,401.16 is: 8,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.03 : 16,154.64 = 6,401.16 : x
  2. Step 2: Convert to fraction form
    11,706.03/16,154.64 = 6,401.16/x
  3. Step 3: Cross multiply
    11,706.03x = 16,154.64 × 6,401.16
  4. Step 4: Simplify right side
    11,706.03x = 103,408,435.38
  5. Step 5: Solve for x
    x = 103,408,435.38/11,706.03
  6. Step 6: Final answer
    x = 8,833.78

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Double scale
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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.