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Finding the Fourth Proportional to 5,754.24, 7,953.12 and 5,071.68

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Solution

The fourth proportional to 5,754.24, 7,953.12 and 5,071.68 is: 7,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.24 : 7,953.12 = 5,071.68 : x
  2. Step 2: Convert to fraction form
    5,754.24/7,953.12 = 5,071.68/x
  3. Step 3: Cross multiply
    5,754.24x = 7,953.12 × 5,071.68
  4. Step 4: Simplify right side
    5,754.24x = 40,335,679.64
  5. Step 5: Solve for x
    x = 40,335,679.64/5,754.24
  6. Step 6: Final answer
    x = 7,009.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.