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Finding the Fourth Proportional to 9,951.84, 14,927.06 and 7,183.52

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Solution

The fourth proportional to 9,951.84, 14,927.06 and 7,183.52 is: 10,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.84 : 14,927.06 = 7,183.52 : x
  2. Step 2: Convert to fraction form
    9,951.84/14,927.06 = 7,183.52/x
  3. Step 3: Cross multiply
    9,951.84x = 14,927.06 × 7,183.52
  4. Step 4: Simplify right side
    9,951.84x = 107,228,834.05
  5. Step 5: Solve for x
    x = 107,228,834.05/9,951.84
  6. Step 6: Final answer
    x = 10,774.77

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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.