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Finding the Fourth Proportional to 14,852.50, 20,496.46 and 8,228.50

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Solution

The fourth proportional to 14,852.50, 20,496.46 and 8,228.50 is: 11,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.50 : 20,496.46 = 8,228.50 : x
  2. Step 2: Convert to fraction form
    14,852.50/20,496.46 = 8,228.50/x
  3. Step 3: Cross multiply
    14,852.50x = 20,496.46 × 8,228.50
  4. Step 4: Simplify right side
    14,852.50x = 168,655,121.11
  5. Step 5: Solve for x
    x = 168,655,121.11/14,852.50
  6. Step 6: Final answer
    x = 11,355.34

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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.