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Finding the Fourth Proportional to 9,767.10, 14,614.65 and 7,175.10

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Solution

The fourth proportional to 9,767.10, 14,614.65 and 7,175.10 is: 10,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.10 : 14,614.65 = 7,175.10 : x
  2. Step 2: Convert to fraction form
    9,767.10/14,614.65 = 7,175.10/x
  3. Step 3: Cross multiply
    9,767.10x = 14,614.65 × 7,175.10
  4. Step 4: Simplify right side
    9,767.10x = 104,861,575.22
  5. Step 5: Solve for x
    x = 104,861,575.22/9,767.10
  6. Step 6: Final answer
    x = 10,736.20

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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.