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Finding the Fourth Proportional to 9,573.96, 13,212.12 and 6,218.04

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Solution

The fourth proportional to 9,573.96, 13,212.12 and 6,218.04 is: 8,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.96 : 13,212.12 = 6,218.04 : x
  2. Step 2: Convert to fraction form
    9,573.96/13,212.12 = 6,218.04/x
  3. Step 3: Cross multiply
    9,573.96x = 13,212.12 × 6,218.04
  4. Step 4: Simplify right side
    9,573.96x = 82,153,490.64
  5. Step 5: Solve for x
    x = 82,153,490.64/9,573.96
  6. Step 6: Final answer
    x = 8,580.93

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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.