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Finding the Fourth Proportional to 6,706.54, 9,259.20 and 6,288.13

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Solution

The fourth proportional to 6,706.54, 9,259.20 and 6,288.13 is: 8,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.54 : 9,259.20 = 6,288.13 : x
  2. Step 2: Convert to fraction form
    6,706.54/9,259.20 = 6,288.13/x
  3. Step 3: Cross multiply
    6,706.54x = 9,259.20 × 6,288.13
  4. Step 4: Simplify right side
    6,706.54x = 58,222,975.56
  5. Step 5: Solve for x
    x = 58,222,975.56/6,706.54
  6. Step 6: Final answer
    x = 8,681.53

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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.