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Finding the Fourth Proportional to 9,753.77, 14,631.02 and 4,558.25

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Solution

The fourth proportional to 9,753.77, 14,631.02 and 4,558.25 is: 6,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.77 : 14,631.02 = 4,558.25 : x
  2. Step 2: Convert to fraction form
    9,753.77/14,631.02 = 4,558.25/x
  3. Step 3: Cross multiply
    9,753.77x = 14,631.02 × 4,558.25
  4. Step 4: Simplify right side
    9,753.77x = 66,691,846.92
  5. Step 5: Solve for x
    x = 66,691,846.92/9,753.77
  6. Step 6: Final answer
    x = 6,837.55

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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.