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Finding the Fourth Proportional to 11,805.88, 16,290.48 and 6,500.74

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Solution

The fourth proportional to 11,805.88, 16,290.48 and 6,500.74 is: 8,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.88 : 16,290.48 = 6,500.74 : x
  2. Step 2: Convert to fraction form
    11,805.88/16,290.48 = 6,500.74/x
  3. Step 3: Cross multiply
    11,805.88x = 16,290.48 × 6,500.74
  4. Step 4: Simplify right side
    11,805.88x = 105,900,174.96
  5. Step 5: Solve for x
    x = 105,900,174.96/11,805.88
  6. Step 6: Final answer
    x = 8,970.12

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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.