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Finding the Fourth Proportional to 9,733, 14,589.74 and 3,801.72

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Solution

The fourth proportional to 9,733, 14,589.74 and 3,801.72 is: 5,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733 : 14,589.74 = 3,801.72 : x
  2. Step 2: Convert to fraction form
    9,733/14,589.74 = 3,801.72/x
  3. Step 3: Cross multiply
    9,733x = 14,589.74 × 3,801.72
  4. Step 4: Simplify right side
    9,733x = 55,466,106.35
  5. Step 5: Solve for x
    x = 55,466,106.35/9,733
  6. Step 6: Final answer
    x = 5,698.77

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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.