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Finding the Fourth Proportional to 7,967.40, 11,949.50 and 7,572.23

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Solution

The fourth proportional to 7,967.40, 11,949.50 and 7,572.23 is: 11,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.40 : 11,949.50 = 7,572.23 : x
  2. Step 2: Convert to fraction form
    7,967.40/11,949.50 = 7,572.23/x
  3. Step 3: Cross multiply
    7,967.40x = 11,949.50 × 7,572.23
  4. Step 4: Simplify right side
    7,967.40x = 90,484,321.57
  5. Step 5: Solve for x
    x = 90,484,321.57/7,967.40
  6. Step 6: Final answer
    x = 11,356.82

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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.