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Finding the Fourth Proportional to 14,641.65, 20,200.48 and 8,267.49

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Solution

The fourth proportional to 14,641.65, 20,200.48 and 8,267.49 is: 11,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.65 : 20,200.48 = 8,267.49 : x
  2. Step 2: Convert to fraction form
    14,641.65/20,200.48 = 8,267.49/x
  3. Step 3: Cross multiply
    14,641.65x = 20,200.48 × 8,267.49
  4. Step 4: Simplify right side
    14,641.65x = 167,007,266.40
  5. Step 5: Solve for x
    x = 167,007,266.40/14,641.65
  6. Step 6: Final answer
    x = 11,406.31

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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.