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Finding the Fourth Proportional to 5,663.84, 7,819.92 and 4,173.44

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Solution

The fourth proportional to 5,663.84, 7,819.92 and 4,173.44 is: 5,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.84 : 7,819.92 = 4,173.44 : x
  2. Step 2: Convert to fraction form
    5,663.84/7,819.92 = 4,173.44/x
  3. Step 3: Cross multiply
    5,663.84x = 7,819.92 × 4,173.44
  4. Step 4: Simplify right side
    5,663.84x = 32,635,966.92
  5. Step 5: Solve for x
    x = 32,635,966.92/5,663.84
  6. Step 6: Final answer
    x = 5,762.16

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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.