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Finding the Fourth Proportional to 11,862.02, 16,375.02 and 8,461.64

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Solution

The fourth proportional to 11,862.02, 16,375.02 and 8,461.64 is: 11,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.02 : 16,375.02 = 8,461.64 : x
  2. Step 2: Convert to fraction form
    11,862.02/16,375.02 = 8,461.64/x
  3. Step 3: Cross multiply
    11,862.02x = 16,375.02 × 8,461.64
  4. Step 4: Simplify right side
    11,862.02x = 138,559,524.23
  5. Step 5: Solve for x
    x = 138,559,524.23/11,862.02
  6. Step 6: Final answer
    x = 11,680.94

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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.