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Finding the Fourth Proportional to 7,037.71, 9,703.23 and 5,147.77

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Solution

The fourth proportional to 7,037.71, 9,703.23 and 5,147.77 is: 7,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.71 : 9,703.23 = 5,147.77 : x
  2. Step 2: Convert to fraction form
    7,037.71/9,703.23 = 5,147.77/x
  3. Step 3: Cross multiply
    7,037.71x = 9,703.23 × 5,147.77
  4. Step 4: Simplify right side
    7,037.71x = 49,949,996.30
  5. Step 5: Solve for x
    x = 49,949,996.30/7,037.71
  6. Step 6: Final answer
    x = 7,097.48

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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.