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Finding the Fourth Proportional to 11,782.70, 16,260.15 and 6,746.99

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Solution

The fourth proportional to 11,782.70, 16,260.15 and 6,746.99 is: 9,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.70 : 16,260.15 = 6,746.99 : x
  2. Step 2: Convert to fraction form
    11,782.70/16,260.15 = 6,746.99/x
  3. Step 3: Cross multiply
    11,782.70x = 16,260.15 × 6,746.99
  4. Step 4: Simplify right side
    11,782.70x = 109,706,988.15
  5. Step 5: Solve for x
    x = 109,706,988.15/11,782.70
  6. Step 6: Final answer
    x = 9,310.86

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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.