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Finding the Fourth Proportional to 9,823.14, 13,555.62 and 5,843.34

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Solution

The fourth proportional to 9,823.14, 13,555.62 and 5,843.34 is: 8,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.14 : 13,555.62 = 5,843.34 : x
  2. Step 2: Convert to fraction form
    9,823.14/13,555.62 = 5,843.34/x
  3. Step 3: Cross multiply
    9,823.14x = 13,555.62 × 5,843.34
  4. Step 4: Simplify right side
    9,823.14x = 79,210,096.57
  5. Step 5: Solve for x
    x = 79,210,096.57/9,823.14
  6. Step 6: Final answer
    x = 8,063.62

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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.