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Finding the Fourth Proportional to 5,000.35, 6,884.34 and 4,114.63

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Solution

The fourth proportional to 5,000.35, 6,884.34 and 4,114.63 is: 5,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.35 : 6,884.34 = 4,114.63 : x
  2. Step 2: Convert to fraction form
    5,000.35/6,884.34 = 4,114.63/x
  3. Step 3: Cross multiply
    5,000.35x = 6,884.34 × 4,114.63
  4. Step 4: Simplify right side
    5,000.35x = 28,326,511.89
  5. Step 5: Solve for x
    x = 28,326,511.89/5,000.35
  6. Step 6: Final answer
    x = 5,664.91

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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.