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Finding the Fourth Proportional to 7,838.01, 10,814.87 and 4,481.93

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Solution

The fourth proportional to 7,838.01, 10,814.87 and 4,481.93 is: 6,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.01 : 10,814.87 = 4,481.93 : x
  2. Step 2: Convert to fraction form
    7,838.01/10,814.87 = 4,481.93/x
  3. Step 3: Cross multiply
    7,838.01x = 10,814.87 × 4,481.93
  4. Step 4: Simplify right side
    7,838.01x = 48,471,413.82
  5. Step 5: Solve for x
    x = 48,471,413.82/7,838.01
  6. Step 6: Final answer
    x = 6,184.15

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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.