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Finding the Fourth Proportional to 14,632.80, 21,934.80 and 7,238.40

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Solution

The fourth proportional to 14,632.80, 21,934.80 and 7,238.40 is: 10,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.80 : 21,934.80 = 7,238.40 : x
  2. Step 2: Convert to fraction form
    14,632.80/21,934.80 = 7,238.40/x
  3. Step 3: Cross multiply
    14,632.80x = 21,934.80 × 7,238.40
  4. Step 4: Simplify right side
    14,632.80x = 158,772,856.32
  5. Step 5: Solve for x
    x = 158,772,856.32/14,632.80
  6. Step 6: Final answer
    x = 10,850.48

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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.