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Finding the Fourth Proportional to 11,963.47, 16,492.48 and 8,415.67

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Solution

The fourth proportional to 11,963.47, 16,492.48 and 8,415.67 is: 11,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.47 : 16,492.48 = 8,415.67 : x
  2. Step 2: Convert to fraction form
    11,963.47/16,492.48 = 8,415.67/x
  3. Step 3: Cross multiply
    11,963.47x = 16,492.48 × 8,415.67
  4. Step 4: Simplify right side
    11,963.47x = 138,795,269.16
  5. Step 5: Solve for x
    x = 138,795,269.16/11,963.47
  6. Step 6: Final answer
    x = 11,601.59

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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.