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Finding the Fourth Proportional to 23,758.76, 35,646.06 and 7,965.36

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Solution

The fourth proportional to 23,758.76, 35,646.06 and 7,965.36 is: 11,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.76 : 35,646.06 = 7,965.36 : x
  2. Step 2: Convert to fraction form
    23,758.76/35,646.06 = 7,965.36/x
  3. Step 3: Cross multiply
    23,758.76x = 35,646.06 × 7,965.36
  4. Step 4: Simplify right side
    23,758.76x = 283,933,522.25
  5. Step 5: Solve for x
    x = 283,933,522.25/23,758.76
  6. Step 6: Final answer
    x = 11,950.69

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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.