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Finding the Fourth Proportional to 21,798.75, 32,698.14 and 5,382.75

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Solution

The fourth proportional to 21,798.75, 32,698.14 and 5,382.75 is: 8,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,798.75 : 32,698.14 = 5,382.75 : x
  2. Step 2: Convert to fraction form
    21,798.75/32,698.14 = 5,382.75/x
  3. Step 3: Cross multiply
    21,798.75x = 32,698.14 × 5,382.75
  4. Step 4: Simplify right side
    21,798.75x = 176,005,913.09
  5. Step 5: Solve for x
    x = 176,005,913.09/21,798.75
  6. Step 6: Final answer
    x = 8,074.13

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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.