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Finding the Fourth Proportional to 9,262.86, 13,874.82 and 6,762.42

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Solution

The fourth proportional to 9,262.86, 13,874.82 and 6,762.42 is: 10,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.86 : 13,874.82 = 6,762.42 : x
  2. Step 2: Convert to fraction form
    9,262.86/13,874.82 = 6,762.42/x
  3. Step 3: Cross multiply
    9,262.86x = 13,874.82 × 6,762.42
  4. Step 4: Simplify right side
    9,262.86x = 93,827,360.26
  5. Step 5: Solve for x
    x = 93,827,360.26/9,262.86
  6. Step 6: Final answer
    x = 10,129.42

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1.5x scale

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.