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Finding the Fourth Proportional to 11,782.16, 16,261 and 6,817.04

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Solution

The fourth proportional to 11,782.16, 16,261 and 6,817.04 is: 9,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.16 : 16,261 = 6,817.04 : x
  2. Step 2: Convert to fraction form
    11,782.16/16,261 = 6,817.04/x
  3. Step 3: Cross multiply
    11,782.16x = 16,261 × 6,817.04
  4. Step 4: Simplify right side
    11,782.16x = 110,851,887.44
  5. Step 5: Solve for x
    x = 110,851,887.44/11,782.16
  6. Step 6: Final answer
    x = 9,408.45

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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.