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Finding the Fourth Proportional to 7,070.46, 9,757.56 and 3,926.46

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Solution

The fourth proportional to 7,070.46, 9,757.56 and 3,926.46 is: 5,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.46 : 9,757.56 = 3,926.46 : x
  2. Step 2: Convert to fraction form
    7,070.46/9,757.56 = 3,926.46/x
  3. Step 3: Cross multiply
    7,070.46x = 9,757.56 × 3,926.46
  4. Step 4: Simplify right side
    7,070.46x = 38,312,669.04
  5. Step 5: Solve for x
    x = 38,312,669.04/7,070.46
  6. Step 6: Final answer
    x = 5,418.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.