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Finding the Fourth Proportional to 9,613.41, 13,264.23 and 5,836.48

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Solution

The fourth proportional to 9,613.41, 13,264.23 and 5,836.48 is: 8,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.41 : 13,264.23 = 5,836.48 : x
  2. Step 2: Convert to fraction form
    9,613.41/13,264.23 = 5,836.48/x
  3. Step 3: Cross multiply
    9,613.41x = 13,264.23 × 5,836.48
  4. Step 4: Simplify right side
    9,613.41x = 77,416,413.11
  5. Step 5: Solve for x
    x = 77,416,413.11/9,613.41
  6. Step 6: Final answer
    x = 8,052.96

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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.