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Finding the Fourth Proportional to 9,684.86, 13,362.45 and 5,908.64

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Solution

The fourth proportional to 9,684.86, 13,362.45 and 5,908.64 is: 8,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.86 : 13,362.45 = 5,908.64 : x
  2. Step 2: Convert to fraction form
    9,684.86/13,362.45 = 5,908.64/x
  3. Step 3: Cross multiply
    9,684.86x = 13,362.45 × 5,908.64
  4. Step 4: Simplify right side
    9,684.86x = 78,953,906.57
  5. Step 5: Solve for x
    x = 78,953,906.57/9,684.86
  6. Step 6: Final answer
    x = 8,152.30

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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.