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Finding the Fourth Proportional to 10,523.10, 14,523.74 and 6,274.42

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Solution

The fourth proportional to 10,523.10, 14,523.74 and 6,274.42 is: 8,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.10 : 14,523.74 = 6,274.42 : x
  2. Step 2: Convert to fraction form
    10,523.10/14,523.74 = 6,274.42/x
  3. Step 3: Cross multiply
    10,523.10x = 14,523.74 × 6,274.42
  4. Step 4: Simplify right side
    10,523.10x = 91,128,044.73
  5. Step 5: Solve for x
    x = 91,128,044.73/10,523.10
  6. Step 6: Final answer
    x = 8,659.81

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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.