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Finding the Fourth Proportional to 9,665.76, 14,498.62 and 2,369.76

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Solution

The fourth proportional to 9,665.76, 14,498.62 and 2,369.76 is: 3,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.76 : 14,498.62 = 2,369.76 : x
  2. Step 2: Convert to fraction form
    9,665.76/14,498.62 = 2,369.76/x
  3. Step 3: Cross multiply
    9,665.76x = 14,498.62 × 2,369.76
  4. Step 4: Simplify right side
    9,665.76x = 34,358,249.73
  5. Step 5: Solve for x
    x = 34,358,249.73/9,665.76
  6. Step 6: Final answer
    x = 3,554.64

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.