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Finding the Fourth Proportional to 9,954.86, 13,733.79 and 5,703.63

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Solution

The fourth proportional to 9,954.86, 13,733.79 and 5,703.63 is: 7,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.86 : 13,733.79 = 5,703.63 : x
  2. Step 2: Convert to fraction form
    9,954.86/13,733.79 = 5,703.63/x
  3. Step 3: Cross multiply
    9,954.86x = 13,733.79 × 5,703.63
  4. Step 4: Simplify right side
    9,954.86x = 78,332,456.66
  5. Step 5: Solve for x
    x = 78,332,456.66/9,954.86
  6. Step 6: Final answer
    x = 7,868.77

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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.