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Finding the Fourth Proportional to 11,755.76, 16,223.10 and 6,378.23

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Solution

The fourth proportional to 11,755.76, 16,223.10 and 6,378.23 is: 8,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.76 : 16,223.10 = 6,378.23 : x
  2. Step 2: Convert to fraction form
    11,755.76/16,223.10 = 6,378.23/x
  3. Step 3: Cross multiply
    11,755.76x = 16,223.10 × 6,378.23
  4. Step 4: Simplify right side
    11,755.76x = 103,474,631.22
  5. Step 5: Solve for x
    x = 103,474,631.22/11,755.76
  6. Step 6: Final answer
    x = 8,802.04

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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.