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Finding the Fourth Proportional to 6,313.66, 8,712.68 and 3,660.90

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Solution

The fourth proportional to 6,313.66, 8,712.68 and 3,660.90 is: 5,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.66 : 8,712.68 = 3,660.90 : x
  2. Step 2: Convert to fraction form
    6,313.66/8,712.68 = 3,660.90/x
  3. Step 3: Cross multiply
    6,313.66x = 8,712.68 × 3,660.90
  4. Step 4: Simplify right side
    6,313.66x = 31,896,250.21
  5. Step 5: Solve for x
    x = 31,896,250.21/6,313.66
  6. Step 6: Final answer
    x = 5,051.94

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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.