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Finding the Fourth Proportional to 9,793.10, 14,678.85 and 5,413.70

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Solution

The fourth proportional to 9,793.10, 14,678.85 and 5,413.70 is: 8,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.10 : 14,678.85 = 5,413.70 : x
  2. Step 2: Convert to fraction form
    9,793.10/14,678.85 = 5,413.70/x
  3. Step 3: Cross multiply
    9,793.10x = 14,678.85 × 5,413.70
  4. Step 4: Simplify right side
    9,793.10x = 79,466,890.25
  5. Step 5: Solve for x
    x = 79,466,890.25/9,793.10
  6. Step 6: Final answer
    x = 8,114.58

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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.