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Finding the Fourth Proportional to 6,906.51, 9,534.20 and 4,072.93

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Solution

The fourth proportional to 6,906.51, 9,534.20 and 4,072.93 is: 5,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.51 : 9,534.20 = 4,072.93 : x
  2. Step 2: Convert to fraction form
    6,906.51/9,534.20 = 4,072.93/x
  3. Step 3: Cross multiply
    6,906.51x = 9,534.20 × 4,072.93
  4. Step 4: Simplify right side
    6,906.51x = 38,832,085.01
  5. Step 5: Solve for x
    x = 38,832,085.01/6,906.51
  6. Step 6: Final answer
    x = 5,622.53

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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.