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Finding the Fourth Proportional to 6,656.54, 9,194.56 and 5,788.22

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Solution

The fourth proportional to 6,656.54, 9,194.56 and 5,788.22 is: 7,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.54 : 9,194.56 = 5,788.22 : x
  2. Step 2: Convert to fraction form
    6,656.54/9,194.56 = 5,788.22/x
  3. Step 3: Cross multiply
    6,656.54x = 9,194.56 × 5,788.22
  4. Step 4: Simplify right side
    6,656.54x = 53,220,136.08
  5. Step 5: Solve for x
    x = 53,220,136.08/6,656.54
  6. Step 6: Final answer
    x = 7,995.17

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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.