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Finding the Fourth Proportional to 12,291.86, 16,962.74 and 6,702.86

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Solution

The fourth proportional to 12,291.86, 16,962.74 and 6,702.86 is: 9,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.86 : 16,962.74 = 6,702.86 : x
  2. Step 2: Convert to fraction form
    12,291.86/16,962.74 = 6,702.86/x
  3. Step 3: Cross multiply
    12,291.86x = 16,962.74 × 6,702.86
  4. Step 4: Simplify right side
    12,291.86x = 113,698,871.44
  5. Step 5: Solve for x
    x = 113,698,871.44/12,291.86
  6. Step 6: Final answer
    x = 9,249.93

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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.