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Finding the Fourth Proportional to 9,843.60, 14,741.10 and 6,538.80

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Solution

The fourth proportional to 9,843.60, 14,741.10 and 6,538.80 is: 9,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.60 : 14,741.10 = 6,538.80 : x
  2. Step 2: Convert to fraction form
    9,843.60/14,741.10 = 6,538.80/x
  3. Step 3: Cross multiply
    9,843.60x = 14,741.10 × 6,538.80
  4. Step 4: Simplify right side
    9,843.60x = 96,389,104.68
  5. Step 5: Solve for x
    x = 96,389,104.68/9,843.60
  6. Step 6: Final answer
    x = 9,792.06

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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.