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Finding the Fourth Proportional to 27,509.22, 41,264.24 and 7,788.83

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Solution

The fourth proportional to 27,509.22, 41,264.24 and 7,788.83 is: 11,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.22 : 41,264.24 = 7,788.83 : x
  2. Step 2: Convert to fraction form
    27,509.22/41,264.24 = 7,788.83/x
  3. Step 3: Cross multiply
    27,509.22x = 41,264.24 × 7,788.83
  4. Step 4: Simplify right side
    27,509.22x = 321,399,905.17
  5. Step 5: Solve for x
    x = 321,399,905.17/27,509.22
  6. Step 6: Final answer
    x = 11,683.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.