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Finding the Fourth Proportional to 6,534.77, 9,814.77 and 5,599.83

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Solution

The fourth proportional to 6,534.77, 9,814.77 and 5,599.83 is: 8,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.77 : 9,814.77 = 5,599.83 : x
  2. Step 2: Convert to fraction form
    6,534.77/9,814.77 = 5,599.83/x
  3. Step 3: Cross multiply
    6,534.77x = 9,814.77 × 5,599.83
  4. Step 4: Simplify right side
    6,534.77x = 54,961,043.49
  5. Step 5: Solve for x
    x = 54,961,043.49/6,534.77
  6. Step 6: Final answer
    x = 8,410.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.