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Finding the Fourth Proportional to 9,846.28, 14,769.42 and 4,652.68

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Solution

The fourth proportional to 9,846.28, 14,769.42 and 4,652.68 is: 6,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.28 : 14,769.42 = 4,652.68 : x
  2. Step 2: Convert to fraction form
    9,846.28/14,769.42 = 4,652.68/x
  3. Step 3: Cross multiply
    9,846.28x = 14,769.42 × 4,652.68
  4. Step 4: Simplify right side
    9,846.28x = 68,717,385.05
  5. Step 5: Solve for x
    x = 68,717,385.05/9,846.28
  6. Step 6: Final answer
    x = 6,979.02

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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.