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Finding the Fourth Proportional to 9,833.32, 14,759.34 and 7,228.36

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Solution

The fourth proportional to 9,833.32, 14,759.34 and 7,228.36 is: 10,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.32 : 14,759.34 = 7,228.36 : x
  2. Step 2: Convert to fraction form
    9,833.32/14,759.34 = 7,228.36/x
  3. Step 3: Cross multiply
    9,833.32x = 14,759.34 × 7,228.36
  4. Step 4: Simplify right side
    9,833.32x = 106,685,822.88
  5. Step 5: Solve for x
    x = 106,685,822.88/9,833.32
  6. Step 6: Final answer
    x = 10,849.42

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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.