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Finding the Fourth Proportional to 6,995.52, 9,657.39 and 5,398.58

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Solution

The fourth proportional to 6,995.52, 9,657.39 and 5,398.58 is: 7,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.52 : 9,657.39 = 5,398.58 : x
  2. Step 2: Convert to fraction form
    6,995.52/9,657.39 = 5,398.58/x
  3. Step 3: Cross multiply
    6,995.52x = 9,657.39 × 5,398.58
  4. Step 4: Simplify right side
    6,995.52x = 52,136,165.51
  5. Step 5: Solve for x
    x = 52,136,165.51/6,995.52
  6. Step 6: Final answer
    x = 7,452.79

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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.