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Finding the Fourth Proportional to 7,843.73, 10,823.16 and 4,485.77

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Solution

The fourth proportional to 7,843.73, 10,823.16 and 4,485.77 is: 6,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.73 : 10,823.16 = 4,485.77 : x
  2. Step 2: Convert to fraction form
    7,843.73/10,823.16 = 4,485.77/x
  3. Step 3: Cross multiply
    7,843.73x = 10,823.16 × 4,485.77
  4. Step 4: Simplify right side
    7,843.73x = 48,550,152.32
  5. Step 5: Solve for x
    x = 48,550,152.32/7,843.73
  6. Step 6: Final answer
    x = 6,189.68

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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.