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Finding the Fourth Proportional to 6,706.13, 9,254.73 and 4,053.02

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Solution

The fourth proportional to 6,706.13, 9,254.73 and 4,053.02 is: 5,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.13 : 9,254.73 = 4,053.02 : x
  2. Step 2: Convert to fraction form
    6,706.13/9,254.73 = 4,053.02/x
  3. Step 3: Cross multiply
    6,706.13x = 9,254.73 × 4,053.02
  4. Step 4: Simplify right side
    6,706.13x = 37,509,605.78
  5. Step 5: Solve for x
    x = 37,509,605.78/6,706.13
  6. Step 6: Final answer
    x = 5,593.33

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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.