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Finding the Fourth Proportional to 6,509.88, 8,983.00 and 3,638.08

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Solution

The fourth proportional to 6,509.88, 8,983.00 and 3,638.08 is: 5,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.88 : 8,983.00 = 3,638.08 : x
  2. Step 2: Convert to fraction form
    6,509.88/8,983.00 = 3,638.08/x
  3. Step 3: Cross multiply
    6,509.88x = 8,983.00 × 3,638.08
  4. Step 4: Simplify right side
    6,509.88x = 32,680,874.77
  5. Step 5: Solve for x
    x = 32,680,874.77/6,509.88
  6. Step 6: Final answer
    x = 5,020.19

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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.