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Finding the Fourth Proportional to 6,417.52, 8,855.76 and 3,623.20

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Solution

The fourth proportional to 6,417.52, 8,855.76 and 3,623.20 is: 4,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.52 : 8,855.76 = 3,623.20 : x
  2. Step 2: Convert to fraction form
    6,417.52/8,855.76 = 3,623.20/x
  3. Step 3: Cross multiply
    6,417.52x = 8,855.76 × 3,623.20
  4. Step 4: Simplify right side
    6,417.52x = 32,086,189.63
  5. Step 5: Solve for x
    x = 32,086,189.63/6,417.52
  6. Step 6: Final answer
    x = 4,999.78

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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.