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Finding the Fourth Proportional to 23,762.16, 35,648.10 and 7,965.34

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Solution

The fourth proportional to 23,762.16, 35,648.10 and 7,965.34 is: 11,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.16 : 35,648.10 = 7,965.34 : x
  2. Step 2: Convert to fraction form
    23,762.16/35,648.10 = 7,965.34/x
  3. Step 3: Cross multiply
    23,762.16x = 35,648.10 × 7,965.34
  4. Step 4: Simplify right side
    23,762.16x = 283,949,147.73
  5. Step 5: Solve for x
    x = 283,949,147.73/23,762.16
  6. Step 6: Final answer
    x = 11,949.64

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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.