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Finding the Fourth Proportional to 7,177.44, 10,702.02 and 7,163.40

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Solution

The fourth proportional to 7,177.44, 10,702.02 and 7,163.40 is: 10,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.44 : 10,702.02 = 7,163.40 : x
  2. Step 2: Convert to fraction form
    7,177.44/10,702.02 = 7,163.40/x
  3. Step 3: Cross multiply
    7,177.44x = 10,702.02 × 7,163.40
  4. Step 4: Simplify right side
    7,177.44x = 76,662,850.07
  5. Step 5: Solve for x
    x = 76,662,850.07/7,177.44
  6. Step 6: Final answer
    x = 10,681.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.