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Finding the Fourth Proportional to 23,539.98, 35,310.24 and 7,746.06

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Solution

The fourth proportional to 23,539.98, 35,310.24 and 7,746.06 is: 11,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.98 : 35,310.24 = 7,746.06 : x
  2. Step 2: Convert to fraction form
    23,539.98/35,310.24 = 7,746.06/x
  3. Step 3: Cross multiply
    23,539.98x = 35,310.24 × 7,746.06
  4. Step 4: Simplify right side
    23,539.98x = 273,515,237.65
  5. Step 5: Solve for x
    x = 273,515,237.65/23,539.98
  6. Step 6: Final answer
    x = 11,619.18

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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.