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Finding the Fourth Proportional to 9,773.70, 13,488.12 and 6,413.96

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Solution

The fourth proportional to 9,773.70, 13,488.12 and 6,413.96 is: 8,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.70 : 13,488.12 = 6,413.96 : x
  2. Step 2: Convert to fraction form
    9,773.70/13,488.12 = 6,413.96/x
  3. Step 3: Cross multiply
    9,773.70x = 13,488.12 × 6,413.96
  4. Step 4: Simplify right side
    9,773.70x = 86,512,262.16
  5. Step 5: Solve for x
    x = 86,512,262.16/9,773.70
  6. Step 6: Final answer
    x = 8,851.54

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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.