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Finding the Fourth Proportional to 9,705.86, 13,393.65 and 5,935.34

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Solution

The fourth proportional to 9,705.86, 13,393.65 and 5,935.34 is: 8,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.86 : 13,393.65 = 5,935.34 : x
  2. Step 2: Convert to fraction form
    9,705.86/13,393.65 = 5,935.34/x
  3. Step 3: Cross multiply
    9,705.86x = 13,393.65 × 5,935.34
  4. Step 4: Simplify right side
    9,705.86x = 79,495,922.33
  5. Step 5: Solve for x
    x = 79,495,922.33/9,705.86
  6. Step 6: Final answer
    x = 8,190.51

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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.