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Finding the Fourth Proportional to 5,663.68, 7,816.80 and 4,731.84

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Solution

The fourth proportional to 5,663.68, 7,816.80 and 4,731.84 is: 6,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.68 : 7,816.80 = 4,731.84 : x
  2. Step 2: Convert to fraction form
    5,663.68/7,816.80 = 4,731.84/x
  3. Step 3: Cross multiply
    5,663.68x = 7,816.80 × 4,731.84
  4. Step 4: Simplify right side
    5,663.68x = 36,987,846.91
  5. Step 5: Solve for x
    x = 36,987,846.91/5,663.68
  6. Step 6: Final answer
    x = 6,530.71

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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.