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Finding the Fourth Proportional to 11,750.70, 16,216.10 and 6,445.41

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Solution

The fourth proportional to 11,750.70, 16,216.10 and 6,445.41 is: 8,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.70 : 16,216.10 = 6,445.41 : x
  2. Step 2: Convert to fraction form
    11,750.70/16,216.10 = 6,445.41/x
  3. Step 3: Cross multiply
    11,750.70x = 16,216.10 × 6,445.41
  4. Step 4: Simplify right side
    11,750.70x = 104,519,344.23
  5. Step 5: Solve for x
    x = 104,519,344.23/11,750.70
  6. Step 6: Final answer
    x = 8,894.73

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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.