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Finding the Fourth Proportional to 21,843.38, 32,756.74 and 7,800.78

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Solution

The fourth proportional to 21,843.38, 32,756.74 and 7,800.78 is: 11,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.38 : 32,756.74 = 7,800.78 : x
  2. Step 2: Convert to fraction form
    21,843.38/32,756.74 = 7,800.78/x
  3. Step 3: Cross multiply
    21,843.38x = 32,756.74 × 7,800.78
  4. Step 4: Simplify right side
    21,843.38x = 255,528,102.76
  5. Step 5: Solve for x
    x = 255,528,102.76/21,843.38
  6. Step 6: Final answer
    x = 11,698.20

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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.