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Finding the Fourth Proportional to 9,803.47, 14,704.86 and 2,783.46

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Solution

The fourth proportional to 9,803.47, 14,704.86 and 2,783.46 is: 4,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.47 : 14,704.86 = 2,783.46 : x
  2. Step 2: Convert to fraction form
    9,803.47/14,704.86 = 2,783.46/x
  3. Step 3: Cross multiply
    9,803.47x = 14,704.86 × 2,783.46
  4. Step 4: Simplify right side
    9,803.47x = 40,930,439.54
  5. Step 5: Solve for x
    x = 40,930,439.54/9,803.47
  6. Step 6: Final answer
    x = 4,175.10

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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.