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Finding the Fourth Proportional to 6,597.27, 9,837.69 and 6,538.02

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Solution

The fourth proportional to 6,597.27, 9,837.69 and 6,538.02 is: 9,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.27 : 9,837.69 = 6,538.02 : x
  2. Step 2: Convert to fraction form
    6,597.27/9,837.69 = 6,538.02/x
  3. Step 3: Cross multiply
    6,597.27x = 9,837.69 × 6,538.02
  4. Step 4: Simplify right side
    6,597.27x = 64,319,013.97
  5. Step 5: Solve for x
    x = 64,319,013.97/6,597.27
  6. Step 6: Final answer
    x = 9,749.34

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1.5x scale

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.