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Finding the Fourth Proportional to 6,507.64, 8,983.20 and 3,990.16

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Solution

The fourth proportional to 6,507.64, 8,983.20 and 3,990.16 is: 5,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.64 : 8,983.20 = 3,990.16 : x
  2. Step 2: Convert to fraction form
    6,507.64/8,983.20 = 3,990.16/x
  3. Step 3: Cross multiply
    6,507.64x = 8,983.20 × 3,990.16
  4. Step 4: Simplify right side
    6,507.64x = 35,844,405.31
  5. Step 5: Solve for x
    x = 35,844,405.31/6,507.64
  6. Step 6: Final answer
    x = 5,508.05

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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.