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Finding the Fourth Proportional to 10,798.58, 14,872.25 and 9,305.96

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Solution

The fourth proportional to 10,798.58, 14,872.25 and 9,305.96 is: 12,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.58 : 14,872.25 = 9,305.96 : x
  2. Step 2: Convert to fraction form
    10,798.58/14,872.25 = 9,305.96/x
  3. Step 3: Cross multiply
    10,798.58x = 14,872.25 × 9,305.96
  4. Step 4: Simplify right side
    10,798.58x = 138,400,517.08
  5. Step 5: Solve for x
    x = 138,400,517.08/10,798.58
  6. Step 6: Final answer
    x = 12,816.55

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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.