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Finding the Fourth Proportional to 9,833.70, 13,568.78 and 5,854.16

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Solution

The fourth proportional to 9,833.70, 13,568.78 and 5,854.16 is: 8,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.70 : 13,568.78 = 5,854.16 : x
  2. Step 2: Convert to fraction form
    9,833.70/13,568.78 = 5,854.16/x
  3. Step 3: Cross multiply
    9,833.70x = 13,568.78 × 5,854.16
  4. Step 4: Simplify right side
    9,833.70x = 79,433,809.12
  5. Step 5: Solve for x
    x = 79,433,809.12/9,833.70
  6. Step 6: Final answer
    x = 8,077.71

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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.