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Finding the Fourth Proportional to 6,706.97, 10,057.20 and 2,026.08

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Solution

The fourth proportional to 6,706.97, 10,057.20 and 2,026.08 is: 3,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.97 : 10,057.20 = 2,026.08 : x
  2. Step 2: Convert to fraction form
    6,706.97/10,057.20 = 2,026.08/x
  3. Step 3: Cross multiply
    6,706.97x = 10,057.20 × 2,026.08
  4. Step 4: Simplify right side
    6,706.97x = 20,376,684.18
  5. Step 5: Solve for x
    x = 20,376,684.18/6,706.97
  6. Step 6: Final answer
    x = 3,038.14

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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.