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Finding the Fourth Proportional to 23,711.68, 35,573.36 and 7,071.64

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Solution

The fourth proportional to 23,711.68, 35,573.36 and 7,071.64 is: 10,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711.68 : 35,573.36 = 7,071.64 : x
  2. Step 2: Convert to fraction form
    23,711.68/35,573.36 = 7,071.64/x
  3. Step 3: Cross multiply
    23,711.68x = 35,573.36 × 7,071.64
  4. Step 4: Simplify right side
    23,711.68x = 251,561,995.51
  5. Step 5: Solve for x
    x = 251,561,995.51/23,711.68
  6. Step 6: Final answer
    x = 10,609.20

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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.