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Finding the Fourth Proportional to 10,885.30, 16,334.10 and 4,644.64

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Solution

The fourth proportional to 10,885.30, 16,334.10 and 4,644.64 is: 6,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.30 : 16,334.10 = 4,644.64 : x
  2. Step 2: Convert to fraction form
    10,885.30/16,334.10 = 4,644.64/x
  3. Step 3: Cross multiply
    10,885.30x = 16,334.10 × 4,644.64
  4. Step 4: Simplify right side
    10,885.30x = 75,866,014.22
  5. Step 5: Solve for x
    x = 75,866,014.22/10,885.30
  6. Step 6: Final answer
    x = 6,969.58

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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.