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Finding the Fourth Proportional to 6,997.60, 9,655.99 and 4,013.02

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Solution

The fourth proportional to 6,997.60, 9,655.99 and 4,013.02 is: 5,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.60 : 9,655.99 = 4,013.02 : x
  2. Step 2: Convert to fraction form
    6,997.60/9,655.99 = 4,013.02/x
  3. Step 3: Cross multiply
    6,997.60x = 9,655.99 × 4,013.02
  4. Step 4: Simplify right side
    6,997.60x = 38,749,646.82
  5. Step 5: Solve for x
    x = 38,749,646.82/6,997.60
  6. Step 6: Final answer
    x = 5,537.56

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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.