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Finding the Fourth Proportional to 9,199.50, 12,703.74 and 5,843.39

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Solution

The fourth proportional to 9,199.50, 12,703.74 and 5,843.39 is: 8,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.50 : 12,703.74 = 5,843.39 : x
  2. Step 2: Convert to fraction form
    9,199.50/12,703.74 = 5,843.39/x
  3. Step 3: Cross multiply
    9,199.50x = 12,703.74 × 5,843.39
  4. Step 4: Simplify right side
    9,199.50x = 74,232,893.31
  5. Step 5: Solve for x
    x = 74,232,893.31/9,199.50
  6. Step 6: Final answer
    x = 8,069.23

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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.