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Finding the Fourth Proportional to 22,649.96, 33,973.74 and 7,065.80

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Solution

The fourth proportional to 22,649.96, 33,973.74 and 7,065.80 is: 10,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.96 : 33,973.74 = 7,065.80 : x
  2. Step 2: Convert to fraction form
    22,649.96/33,973.74 = 7,065.80/x
  3. Step 3: Cross multiply
    22,649.96x = 33,973.74 × 7,065.80
  4. Step 4: Simplify right side
    22,649.96x = 240,051,652.09
  5. Step 5: Solve for x
    x = 240,051,652.09/22,649.96
  6. Step 6: Final answer
    x = 10,598.33

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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.