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Finding the Fourth Proportional to 9,836.44, 14,758.71 and 7,217.31

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Solution

The fourth proportional to 9,836.44, 14,758.71 and 7,217.31 is: 10,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.44 : 14,758.71 = 7,217.31 : x
  2. Step 2: Convert to fraction form
    9,836.44/14,758.71 = 7,217.31/x
  3. Step 3: Cross multiply
    9,836.44x = 14,758.71 × 7,217.31
  4. Step 4: Simplify right side
    9,836.44x = 106,518,130.53
  5. Step 5: Solve for x
    x = 106,518,130.53/9,836.44
  6. Step 6: Final answer
    x = 10,828.93

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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.