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Finding the Fourth Proportional to 6,538.48, 9,795.36 and 5,060.23

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Solution

The fourth proportional to 6,538.48, 9,795.36 and 5,060.23 is: 7,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.48 : 9,795.36 = 5,060.23 : x
  2. Step 2: Convert to fraction form
    6,538.48/9,795.36 = 5,060.23/x
  3. Step 3: Cross multiply
    6,538.48x = 9,795.36 × 5,060.23
  4. Step 4: Simplify right side
    6,538.48x = 49,566,769.02
  5. Step 5: Solve for x
    x = 49,566,769.02/6,538.48
  6. Step 6: Final answer
    x = 7,580.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.