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Finding the Fourth Proportional to 9,832.39, 14,750.71 and 4,563.54

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Solution

The fourth proportional to 9,832.39, 14,750.71 and 4,563.54 is: 6,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.39 : 14,750.71 = 4,563.54 : x
  2. Step 2: Convert to fraction form
    9,832.39/14,750.71 = 4,563.54/x
  3. Step 3: Cross multiply
    9,832.39x = 14,750.71 × 4,563.54
  4. Step 4: Simplify right side
    9,832.39x = 67,315,443.70
  5. Step 5: Solve for x
    x = 67,315,443.70/9,832.39
  6. Step 6: Final answer
    x = 6,846.30

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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.