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Finding the Fourth Proportional to 6,274.22, 9,411.12 and 2,114.16

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Solution

The fourth proportional to 6,274.22, 9,411.12 and 2,114.16 is: 3,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.22 : 9,411.12 = 2,114.16 : x
  2. Step 2: Convert to fraction form
    6,274.22/9,411.12 = 2,114.16/x
  3. Step 3: Cross multiply
    6,274.22x = 9,411.12 × 2,114.16
  4. Step 4: Simplify right side
    6,274.22x = 19,896,613.46
  5. Step 5: Solve for x
    x = 19,896,613.46/6,274.22
  6. Step 6: Final answer
    x = 3,171.17

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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.