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Finding the Fourth Proportional to 6,597.52, 9,838.07 and 6,538.26

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Solution

The fourth proportional to 6,597.52, 9,838.07 and 6,538.26 is: 9,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.52 : 9,838.07 = 6,538.26 : x
  2. Step 2: Convert to fraction form
    6,597.52/9,838.07 = 6,538.26/x
  3. Step 3: Cross multiply
    6,597.52x = 9,838.07 × 6,538.26
  4. Step 4: Simplify right side
    6,597.52x = 64,323,859.56
  5. Step 5: Solve for x
    x = 64,323,859.56/6,597.52
  6. Step 6: Final answer
    x = 9,749.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.