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Finding the Fourth Proportional to 14,907.80, 20,573.24 and 8,194.05

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Solution

The fourth proportional to 14,907.80, 20,573.24 and 8,194.05 is: 11,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907.80 : 20,573.24 = 8,194.05 : x
  2. Step 2: Convert to fraction form
    14,907.80/20,573.24 = 8,194.05/x
  3. Step 3: Cross multiply
    14,907.80x = 20,573.24 × 8,194.05
  4. Step 4: Simplify right side
    14,907.80x = 168,578,116.25
  5. Step 5: Solve for x
    x = 168,578,116.25/14,907.80
  6. Step 6: Final answer
    x = 11,308.05

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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.