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Finding the Fourth Proportional to 22,303.94, 33,455.96 and 7,523.23

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Solution

The fourth proportional to 22,303.94, 33,455.96 and 7,523.23 is: 11,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.94 : 33,455.96 = 7,523.23 : x
  2. Step 2: Convert to fraction form
    22,303.94/33,455.96 = 7,523.23/x
  3. Step 3: Cross multiply
    22,303.94x = 33,455.96 × 7,523.23
  4. Step 4: Simplify right side
    22,303.94x = 251,696,714.67
  5. Step 5: Solve for x
    x = 251,696,714.67/22,303.94
  6. Step 6: Final answer
    x = 11,284.86

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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.