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Finding the Fourth Proportional to 15,662.16, 23,493.24 and 7,877.52

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Solution

The fourth proportional to 15,662.16, 23,493.24 and 7,877.52 is: 11,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.16 : 23,493.24 = 7,877.52 : x
  2. Step 2: Convert to fraction form
    15,662.16/23,493.24 = 7,877.52/x
  3. Step 3: Cross multiply
    15,662.16x = 23,493.24 × 7,877.52
  4. Step 4: Simplify right side
    15,662.16x = 185,068,467.96
  5. Step 5: Solve for x
    x = 185,068,467.96/15,662.16
  6. Step 6: Final answer
    x = 11,816.28

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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.