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Finding the Fourth Proportional to 9,843.48, 14,769.54 and 4,003.92

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Solution

The fourth proportional to 9,843.48, 14,769.54 and 4,003.92 is: 6,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.48 : 14,769.54 = 4,003.92 : x
  2. Step 2: Convert to fraction form
    9,843.48/14,769.54 = 4,003.92/x
  3. Step 3: Cross multiply
    9,843.48x = 14,769.54 × 4,003.92
  4. Step 4: Simplify right side
    9,843.48x = 59,136,056.60
  5. Step 5: Solve for x
    x = 59,136,056.60/9,843.48
  6. Step 6: Final answer
    x = 6,007.64

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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.