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Finding the Fourth Proportional to 9,764.84, 14,647.26 and 2,369.18

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Solution

The fourth proportional to 9,764.84, 14,647.26 and 2,369.18 is: 3,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.84 : 14,647.26 = 2,369.18 : x
  2. Step 2: Convert to fraction form
    9,764.84/14,647.26 = 2,369.18/x
  3. Step 3: Cross multiply
    9,764.84x = 14,647.26 × 2,369.18
  4. Step 4: Simplify right side
    9,764.84x = 34,701,995.45
  5. Step 5: Solve for x
    x = 34,701,995.45/9,764.84
  6. Step 6: Final answer
    x = 3,553.77

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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.