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Finding the Fourth Proportional to 7,176.96, 10,767.96 and 3,284.28

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Solution

The fourth proportional to 7,176.96, 10,767.96 and 3,284.28 is: 4,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.96 : 10,767.96 = 3,284.28 : x
  2. Step 2: Convert to fraction form
    7,176.96/10,767.96 = 3,284.28/x
  3. Step 3: Cross multiply
    7,176.96x = 10,767.96 × 3,284.28
  4. Step 4: Simplify right side
    7,176.96x = 35,364,995.67
  5. Step 5: Solve for x
    x = 35,364,995.67/7,176.96
  6. Step 6: Final answer
    x = 4,927.57

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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.