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Finding the Fourth Proportional to 6,306.02, 8,703.84 and 3,653

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Solution

The fourth proportional to 6,306.02, 8,703.84 and 3,653 is: 5,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.02 : 8,703.84 = 3,653 : x
  2. Step 2: Convert to fraction form
    6,306.02/8,703.84 = 3,653/x
  3. Step 3: Cross multiply
    6,306.02x = 8,703.84 × 3,653
  4. Step 4: Simplify right side
    6,306.02x = 31,795,127.52
  5. Step 5: Solve for x
    x = 31,795,127.52/6,306.02
  6. Step 6: Final answer
    x = 5,042.03

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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.