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Finding the Fourth Proportional to 9,354.93, 14,036.49 and 8,649.62

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Solution

The fourth proportional to 9,354.93, 14,036.49 and 8,649.62 is: 12,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.93 : 14,036.49 = 8,649.62 : x
  2. Step 2: Convert to fraction form
    9,354.93/14,036.49 = 8,649.62/x
  3. Step 3: Cross multiply
    9,354.93x = 14,036.49 × 8,649.62
  4. Step 4: Simplify right side
    9,354.93x = 121,410,287.09
  5. Step 5: Solve for x
    x = 121,410,287.09/9,354.93
  6. Step 6: Final answer
    x = 12,978.22

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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.