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Finding the Fourth Proportional to 15,664.16, 23,496.24 and 7,879.52

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Solution

The fourth proportional to 15,664.16, 23,496.24 and 7,879.52 is: 11,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.16 : 23,496.24 = 7,879.52 : x
  2. Step 2: Convert to fraction form
    15,664.16/23,496.24 = 7,879.52/x
  3. Step 3: Cross multiply
    15,664.16x = 23,496.24 × 7,879.52
  4. Step 4: Simplify right side
    15,664.16x = 185,139,093.00
  5. Step 5: Solve for x
    x = 185,139,093.00/15,664.16
  6. Step 6: Final answer
    x = 11,819.28

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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.