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Finding the Fourth Proportional to 23,634.16, 35,449.08 and 7,218.16

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Solution

The fourth proportional to 23,634.16, 35,449.08 and 7,218.16 is: 10,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.16 : 35,449.08 = 7,218.16 : x
  2. Step 2: Convert to fraction form
    23,634.16/35,449.08 = 7,218.16/x
  3. Step 3: Cross multiply
    23,634.16x = 35,449.08 × 7,218.16
  4. Step 4: Simplify right side
    23,634.16x = 255,877,131.29
  5. Step 5: Solve for x
    x = 255,877,131.29/23,634.16
  6. Step 6: Final answer
    x = 10,826.58

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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.