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Finding the Fourth Proportional to 11,706.35, 16,155.86 and 6,401.93

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Solution

The fourth proportional to 11,706.35, 16,155.86 and 6,401.93 is: 8,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.35 : 16,155.86 = 6,401.93 : x
  2. Step 2: Convert to fraction form
    11,706.35/16,155.86 = 6,401.93/x
  3. Step 3: Cross multiply
    11,706.35x = 16,155.86 × 6,401.93
  4. Step 4: Simplify right side
    11,706.35x = 103,428,572.02
  5. Step 5: Solve for x
    x = 103,428,572.02/11,706.35
  6. Step 6: Final answer
    x = 8,835.26

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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.