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Finding the Fourth Proportional to 9,262.25, 12,777.55 and 6,743.25

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Solution

The fourth proportional to 9,262.25, 12,777.55 and 6,743.25 is: 9,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.25 : 12,777.55 = 6,743.25 : x
  2. Step 2: Convert to fraction form
    9,262.25/12,777.55 = 6,743.25/x
  3. Step 3: Cross multiply
    9,262.25x = 12,777.55 × 6,743.25
  4. Step 4: Simplify right side
    9,262.25x = 86,162,197.18
  5. Step 5: Solve for x
    x = 86,162,197.18/9,262.25
  6. Step 6: Final answer
    x = 9,302.51

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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.