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Finding the Fourth Proportional to 23,911.52, 35,867.16 and 6,142.16

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Solution

The fourth proportional to 23,911.52, 35,867.16 and 6,142.16 is: 9,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,911.52 : 35,867.16 = 6,142.16 : x
  2. Step 2: Convert to fraction form
    23,911.52/35,867.16 = 6,142.16/x
  3. Step 3: Cross multiply
    23,911.52x = 35,867.16 × 6,142.16
  4. Step 4: Simplify right side
    23,911.52x = 220,301,835.47
  5. Step 5: Solve for x
    x = 220,301,835.47/23,911.52
  6. Step 6: Final answer
    x = 9,213.21

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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.