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Finding the Fourth Proportional to 7,130.80, 10,667.40 and 6,167.60

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Solution

The fourth proportional to 7,130.80, 10,667.40 and 6,167.60 is: 9,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.80 : 10,667.40 = 6,167.60 : x
  2. Step 2: Convert to fraction form
    7,130.80/10,667.40 = 6,167.60/x
  3. Step 3: Cross multiply
    7,130.80x = 10,667.40 × 6,167.60
  4. Step 4: Simplify right side
    7,130.80x = 65,792,256.24
  5. Step 5: Solve for x
    x = 65,792,256.24/7,130.80
  6. Step 6: Final answer
    x = 9,226.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.