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Finding the Fourth Proportional to 7,631.65, 11,434.02 and 6,684.03

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Solution

The fourth proportional to 7,631.65, 11,434.02 and 6,684.03 is: 10,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.65 : 11,434.02 = 6,684.03 : x
  2. Step 2: Convert to fraction form
    7,631.65/11,434.02 = 6,684.03/x
  3. Step 3: Cross multiply
    7,631.65x = 11,434.02 × 6,684.03
  4. Step 4: Simplify right side
    7,631.65x = 76,425,332.70
  5. Step 5: Solve for x
    x = 76,425,332.70/7,631.65
  6. Step 6: Final answer
    x = 10,014.26

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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.