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Finding the Fourth Proportional to 9,471.63, 13,068.21 and 6,114.60

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Solution

The fourth proportional to 9,471.63, 13,068.21 and 6,114.60 is: 8,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.63 : 13,068.21 = 6,114.60 : x
  2. Step 2: Convert to fraction form
    9,471.63/13,068.21 = 6,114.60/x
  3. Step 3: Cross multiply
    9,471.63x = 13,068.21 × 6,114.60
  4. Step 4: Simplify right side
    9,471.63x = 79,906,876.87
  5. Step 5: Solve for x
    x = 79,906,876.87/9,471.63
  6. Step 6: Final answer
    x = 8,436.44

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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.