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Finding the Fourth Proportional to 9,786.71, 13,508.06 and 6,010.77

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Solution

The fourth proportional to 9,786.71, 13,508.06 and 6,010.77 is: 8,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.71 : 13,508.06 = 6,010.77 : x
  2. Step 2: Convert to fraction form
    9,786.71/13,508.06 = 6,010.77/x
  3. Step 3: Cross multiply
    9,786.71x = 13,508.06 × 6,010.77
  4. Step 4: Simplify right side
    9,786.71x = 81,193,811.75
  5. Step 5: Solve for x
    x = 81,193,811.75/9,786.71
  6. Step 6: Final answer
    x = 8,296.34

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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.