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Finding the Fourth Proportional to 9,564.34, 13,198.62 and 5,838.34

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Solution

The fourth proportional to 9,564.34, 13,198.62 and 5,838.34 is: 8,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.34 : 13,198.62 = 5,838.34 : x
  2. Step 2: Convert to fraction form
    9,564.34/13,198.62 = 5,838.34/x
  3. Step 3: Cross multiply
    9,564.34x = 13,198.62 × 5,838.34
  4. Step 4: Simplify right side
    9,564.34x = 77,058,031.09
  5. Step 5: Solve for x
    x = 77,058,031.09/9,564.34
  6. Step 6: Final answer
    x = 8,056.81

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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.