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Finding the Fourth Proportional to 7,216.16, 10,820.16 and 2,284.88

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Solution

The fourth proportional to 7,216.16, 10,820.16 and 2,284.88 is: 3,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.16 : 10,820.16 = 2,284.88 : x
  2. Step 2: Convert to fraction form
    7,216.16/10,820.16 = 2,284.88/x
  3. Step 3: Cross multiply
    7,216.16x = 10,820.16 × 2,284.88
  4. Step 4: Simplify right side
    7,216.16x = 24,722,767.18
  5. Step 5: Solve for x
    x = 24,722,767.18/7,216.16
  6. Step 6: Final answer
    x = 3,426.03

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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.