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Finding the Fourth Proportional to 21,845.38, 32,759.74 and 7,802.78

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Solution

The fourth proportional to 21,845.38, 32,759.74 and 7,802.78 is: 11,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845.38 : 32,759.74 = 7,802.78 : x
  2. Step 2: Convert to fraction form
    21,845.38/32,759.74 = 7,802.78/x
  3. Step 3: Cross multiply
    21,845.38x = 32,759.74 × 7,802.78
  4. Step 4: Simplify right side
    21,845.38x = 255,617,044.08
  5. Step 5: Solve for x
    x = 255,617,044.08/21,845.38
  6. Step 6: Final answer
    x = 11,701.19

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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.