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Finding the Fourth Proportional to 7,903.74, 11,853.09 and 3,223.74

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Solution

The fourth proportional to 7,903.74, 11,853.09 and 3,223.74 is: 4,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.74 : 11,853.09 = 3,223.74 : x
  2. Step 2: Convert to fraction form
    7,903.74/11,853.09 = 3,223.74/x
  3. Step 3: Cross multiply
    7,903.74x = 11,853.09 × 3,223.74
  4. Step 4: Simplify right side
    7,903.74x = 38,211,280.36
  5. Step 5: Solve for x
    x = 38,211,280.36/7,903.74
  6. Step 6: Final answer
    x = 4,834.58

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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.