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Finding the Fourth Proportional to 6,997.56, 9,656.52 and 3,973.24

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Solution

The fourth proportional to 6,997.56, 9,656.52 and 3,973.24 is: 5,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.56 : 9,656.52 = 3,973.24 : x
  2. Step 2: Convert to fraction form
    6,997.56/9,656.52 = 3,973.24/x
  3. Step 3: Cross multiply
    6,997.56x = 9,656.52 × 3,973.24
  4. Step 4: Simplify right side
    6,997.56x = 38,367,671.52
  5. Step 5: Solve for x
    x = 38,367,671.52/6,997.56
  6. Step 6: Final answer
    x = 5,483.01

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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.