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Finding the Fourth Proportional to 17,649.75, 24,357.09 and 9,583.74

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Solution

The fourth proportional to 17,649.75, 24,357.09 and 9,583.74 is: 13,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.75 : 24,357.09 = 9,583.74 : x
  2. Step 2: Convert to fraction form
    17,649.75/24,357.09 = 9,583.74/x
  3. Step 3: Cross multiply
    17,649.75x = 24,357.09 × 9,583.74
  4. Step 4: Simplify right side
    17,649.75x = 233,432,017.72
  5. Step 5: Solve for x
    x = 233,432,017.72/17,649.75
  6. Step 6: Final answer
    x = 13,225.80

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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.