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Finding the Fourth Proportional to 4,967.16, 6,855 and 3,285.66

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Solution

The fourth proportional to 4,967.16, 6,855 and 3,285.66 is: 4,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.16 : 6,855 = 3,285.66 : x
  2. Step 2: Convert to fraction form
    4,967.16/6,855 = 3,285.66/x
  3. Step 3: Cross multiply
    4,967.16x = 6,855 × 3,285.66
  4. Step 4: Simplify right side
    4,967.16x = 22,523,199.30
  5. Step 5: Solve for x
    x = 22,523,199.30/4,967.16
  6. Step 6: Final answer
    x = 4,534.42

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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.