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Finding the Fourth Proportional to 5,954.99, 8,199.17 and 5,056.85

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Solution

The fourth proportional to 5,954.99, 8,199.17 and 5,056.85 is: 6,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.99 : 8,199.17 = 5,056.85 : x
  2. Step 2: Convert to fraction form
    5,954.99/8,199.17 = 5,056.85/x
  3. Step 3: Cross multiply
    5,954.99x = 8,199.17 × 5,056.85
  4. Step 4: Simplify right side
    5,954.99x = 41,461,953.94
  5. Step 5: Solve for x
    x = 41,461,953.94/5,954.99
  6. Step 6: Final answer
    x = 6,962.56

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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.