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Finding the Fourth Proportional to 6,644.66, 9,962.10 and 3,184.34

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Solution

The fourth proportional to 6,644.66, 9,962.10 and 3,184.34 is: 4,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.66 : 9,962.10 = 3,184.34 : x
  2. Step 2: Convert to fraction form
    6,644.66/9,962.10 = 3,184.34/x
  3. Step 3: Cross multiply
    6,644.66x = 9,962.10 × 3,184.34
  4. Step 4: Simplify right side
    6,644.66x = 31,722,713.51
  5. Step 5: Solve for x
    x = 31,722,713.51/6,644.66
  6. Step 6: Final answer
    x = 4,774.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.