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Finding the Fourth Proportional to 23,967.72, 35,947.08 and 7,323.24

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Solution

The fourth proportional to 23,967.72, 35,947.08 and 7,323.24 is: 10,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.72 : 35,947.08 = 7,323.24 : x
  2. Step 2: Convert to fraction form
    23,967.72/35,947.08 = 7,323.24/x
  3. Step 3: Cross multiply
    23,967.72x = 35,947.08 × 7,323.24
  4. Step 4: Simplify right side
    23,967.72x = 263,249,094.14
  5. Step 5: Solve for x
    x = 263,249,094.14/23,967.72
  6. Step 6: Final answer
    x = 10,983.49

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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.