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Finding the Fourth Proportional to 4,166.86, 6,245.43 and 1,853.50

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Solution

The fourth proportional to 4,166.86, 6,245.43 and 1,853.50 is: 2,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.86 : 6,245.43 = 1,853.50 : x
  2. Step 2: Convert to fraction form
    4,166.86/6,245.43 = 1,853.50/x
  3. Step 3: Cross multiply
    4,166.86x = 6,245.43 × 1,853.50
  4. Step 4: Simplify right side
    4,166.86x = 11,575,904.51
  5. Step 5: Solve for x
    x = 11,575,904.51/4,166.86
  6. Step 6: Final answer
    x = 2,778.09

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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.