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Finding the Fourth Proportional to 9,228.94, 13,848.17 and 5,072.22

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Solution

The fourth proportional to 9,228.94, 13,848.17 and 5,072.22 is: 7,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.94 : 13,848.17 = 5,072.22 : x
  2. Step 2: Convert to fraction form
    9,228.94/13,848.17 = 5,072.22/x
  3. Step 3: Cross multiply
    9,228.94x = 13,848.17 × 5,072.22
  4. Step 4: Simplify right side
    9,228.94x = 70,240,939.48
  5. Step 5: Solve for x
    x = 70,240,939.48/9,228.94
  6. Step 6: Final answer
    x = 7,610.95

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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.