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Finding the Fourth Proportional to 5,663.86, 7,814.24 and 3,424.88

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Solution

The fourth proportional to 5,663.86, 7,814.24 and 3,424.88 is: 4,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.86 : 7,814.24 = 3,424.88 : x
  2. Step 2: Convert to fraction form
    5,663.86/7,814.24 = 3,424.88/x
  3. Step 3: Cross multiply
    5,663.86x = 7,814.24 × 3,424.88
  4. Step 4: Simplify right side
    5,663.86x = 26,762,834.29
  5. Step 5: Solve for x
    x = 26,762,834.29/5,663.86
  6. Step 6: Final answer
    x = 4,725.19

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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.