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Finding the Fourth Proportional to 9,809.66, 14,714.10 and 2,413.76

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Solution

The fourth proportional to 9,809.66, 14,714.10 and 2,413.76 is: 3,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.66 : 14,714.10 = 2,413.76 : x
  2. Step 2: Convert to fraction form
    9,809.66/14,714.10 = 2,413.76/x
  3. Step 3: Cross multiply
    9,809.66x = 14,714.10 × 2,413.76
  4. Step 4: Simplify right side
    9,809.66x = 35,516,306.02
  5. Step 5: Solve for x
    x = 35,516,306.02/9,809.66
  6. Step 6: Final answer
    x = 3,620.54

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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.