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Finding the Fourth Proportional to 6,228.70, 9,347.70 and 2,533.48

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Solution

The fourth proportional to 6,228.70, 9,347.70 and 2,533.48 is: 3,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.70 : 9,347.70 = 2,533.48 : x
  2. Step 2: Convert to fraction form
    6,228.70/9,347.70 = 2,533.48/x
  3. Step 3: Cross multiply
    6,228.70x = 9,347.70 × 2,533.48
  4. Step 4: Simplify right side
    6,228.70x = 23,682,197.13
  5. Step 5: Solve for x
    x = 23,682,197.13/6,228.70
  6. Step 6: Final answer
    x = 3,802.11

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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.