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Finding the Fourth Proportional to 5,973.84, 8,222.68 and 4,377.68

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Solution

The fourth proportional to 5,973.84, 8,222.68 and 4,377.68 is: 6,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.84 : 8,222.68 = 4,377.68 : x
  2. Step 2: Convert to fraction form
    5,973.84/8,222.68 = 4,377.68/x
  3. Step 3: Cross multiply
    5,973.84x = 8,222.68 × 4,377.68
  4. Step 4: Simplify right side
    5,973.84x = 35,996,261.78
  5. Step 5: Solve for x
    x = 35,996,261.78/5,973.84
  6. Step 6: Final answer
    x = 6,025.65

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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.