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Finding the Fourth Proportional to 6,906.26, 9,536.26 and 5,630.34

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Solution

The fourth proportional to 6,906.26, 9,536.26 and 5,630.34 is: 7,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.26 : 9,536.26 = 5,630.34 : x
  2. Step 2: Convert to fraction form
    6,906.26/9,536.26 = 5,630.34/x
  3. Step 3: Cross multiply
    6,906.26x = 9,536.26 × 5,630.34
  4. Step 4: Simplify right side
    6,906.26x = 53,692,386.13
  5. Step 5: Solve for x
    x = 53,692,386.13/6,906.26
  6. Step 6: Final answer
    x = 7,774.45

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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.