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Finding the Fourth Proportional to 7,037.69, 9,712.01 and 3,893.88

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Solution

The fourth proportional to 7,037.69, 9,712.01 and 3,893.88 is: 5,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.69 : 9,712.01 = 3,893.88 : x
  2. Step 2: Convert to fraction form
    7,037.69/9,712.01 = 3,893.88/x
  3. Step 3: Cross multiply
    7,037.69x = 9,712.01 × 3,893.88
  4. Step 4: Simplify right side
    7,037.69x = 37,817,401.50
  5. Step 5: Solve for x
    x = 37,817,401.50/7,037.69
  6. Step 6: Final answer
    x = 5,373.55

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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.