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Finding the Fourth Proportional to 9,823, 13,552.86 and 5,842.12

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Solution

The fourth proportional to 9,823, 13,552.86 and 5,842.12 is: 8,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823 : 13,552.86 = 5,842.12 : x
  2. Step 2: Convert to fraction form
    9,823/13,552.86 = 5,842.12/x
  3. Step 3: Cross multiply
    9,823x = 13,552.86 × 5,842.12
  4. Step 4: Simplify right side
    9,823x = 79,177,434.46
  5. Step 5: Solve for x
    x = 79,177,434.46/9,823
  6. Step 6: Final answer
    x = 8,060.41

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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.