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Finding the Fourth Proportional to 11,900.60, 16,422.24 and 6,523

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Solution

The fourth proportional to 11,900.60, 16,422.24 and 6,523 is: 9,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.60 : 16,422.24 = 6,523 : x
  2. Step 2: Convert to fraction form
    11,900.60/16,422.24 = 6,523/x
  3. Step 3: Cross multiply
    11,900.60x = 16,422.24 × 6,523
  4. Step 4: Simplify right side
    11,900.60x = 107,122,271.52
  5. Step 5: Solve for x
    x = 107,122,271.52/11,900.60
  6. Step 6: Final answer
    x = 9,001.42

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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.