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Finding the Fourth Proportional to 9,833.97, 14,741.37 and 6,314.13

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Solution

The fourth proportional to 9,833.97, 14,741.37 and 6,314.13 is: 9,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.97 : 14,741.37 = 6,314.13 : x
  2. Step 2: Convert to fraction form
    9,833.97/14,741.37 = 6,314.13/x
  3. Step 3: Cross multiply
    9,833.97x = 14,741.37 × 6,314.13
  4. Step 4: Simplify right side
    9,833.97x = 93,078,926.56
  5. Step 5: Solve for x
    x = 93,078,926.56/9,833.97
  6. Step 6: Final answer
    x = 9,465.04

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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.