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Finding the Fourth Proportional to 7,037.80, 9,712.17 and 3,851.39

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Solution

The fourth proportional to 7,037.80, 9,712.17 and 3,851.39 is: 5,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.80 : 9,712.17 = 3,851.39 : x
  2. Step 2: Convert to fraction form
    7,037.80/9,712.17 = 3,851.39/x
  3. Step 3: Cross multiply
    7,037.80x = 9,712.17 × 3,851.39
  4. Step 4: Simplify right side
    7,037.80x = 37,405,378.70
  5. Step 5: Solve for x
    x = 37,405,378.70/7,037.80
  6. Step 6: Final answer
    x = 5,314.93

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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.