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Finding the Fourth Proportional to 9,703.98, 13,391.34 and 5,723.64

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Solution

The fourth proportional to 9,703.98, 13,391.34 and 5,723.64 is: 7,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.98 : 13,391.34 = 5,723.64 : x
  2. Step 2: Convert to fraction form
    9,703.98/13,391.34 = 5,723.64/x
  3. Step 3: Cross multiply
    9,703.98x = 13,391.34 × 5,723.64
  4. Step 4: Simplify right side
    9,703.98x = 76,647,209.28
  5. Step 5: Solve for x
    x = 76,647,209.28/9,703.98
  6. Step 6: Final answer
    x = 7,898.53

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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.