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Finding the Fourth Proportional to 9,732.33, 14,601.74 and 4,188.33

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Solution

The fourth proportional to 9,732.33, 14,601.74 and 4,188.33 is: 6,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.33 : 14,601.74 = 4,188.33 : x
  2. Step 2: Convert to fraction form
    9,732.33/14,601.74 = 4,188.33/x
  3. Step 3: Cross multiply
    9,732.33x = 14,601.74 × 4,188.33
  4. Step 4: Simplify right side
    9,732.33x = 61,156,884.75
  5. Step 5: Solve for x
    x = 61,156,884.75/9,732.33
  6. Step 6: Final answer
    x = 6,283.89

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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.