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Finding the Fourth Proportional to 9,270.21, 12,792 and 5,291.22

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Solution

The fourth proportional to 9,270.21, 12,792 and 5,291.22 is: 7,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.21 : 12,792 = 5,291.22 : x
  2. Step 2: Convert to fraction form
    9,270.21/12,792 = 5,291.22/x
  3. Step 3: Cross multiply
    9,270.21x = 12,792 × 5,291.22
  4. Step 4: Simplify right side
    9,270.21x = 67,685,286.24
  5. Step 5: Solve for x
    x = 67,685,286.24/9,270.21
  6. Step 6: Final answer
    x = 7,301.38

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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.