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Finding the Fourth Proportional to 11,668.17, 16,102.16 and 6,363.08

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Solution

The fourth proportional to 11,668.17, 16,102.16 and 6,363.08 is: 8,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.17 : 16,102.16 = 6,363.08 : x
  2. Step 2: Convert to fraction form
    11,668.17/16,102.16 = 6,363.08/x
  3. Step 3: Cross multiply
    11,668.17x = 16,102.16 × 6,363.08
  4. Step 4: Simplify right side
    11,668.17x = 102,459,219.93
  5. Step 5: Solve for x
    x = 102,459,219.93/11,668.17
  6. Step 6: Final answer
    x = 8,781.09

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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.