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Finding the Fourth Proportional to 9,764.69, 14,646.90 and 2,369.22

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Solution

The fourth proportional to 9,764.69, 14,646.90 and 2,369.22 is: 3,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.69 : 14,646.90 = 2,369.22 : x
  2. Step 2: Convert to fraction form
    9,764.69/14,646.90 = 2,369.22/x
  3. Step 3: Cross multiply
    9,764.69x = 14,646.90 × 2,369.22
  4. Step 4: Simplify right side
    9,764.69x = 34,701,728.42
  5. Step 5: Solve for x
    x = 34,701,728.42/9,764.69
  6. Step 6: Final answer
    x = 3,553.80

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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.