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Finding the Fourth Proportional to 10,583.97, 15,878.73 and 5,652.28

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Solution

The fourth proportional to 10,583.97, 15,878.73 and 5,652.28 is: 8,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.97 : 15,878.73 = 5,652.28 : x
  2. Step 2: Convert to fraction form
    10,583.97/15,878.73 = 5,652.28/x
  3. Step 3: Cross multiply
    10,583.97x = 15,878.73 × 5,652.28
  4. Step 4: Simplify right side
    10,583.97x = 89,751,069.05
  5. Step 5: Solve for x
    x = 89,751,069.05/10,583.97
  6. Step 6: Final answer
    x = 8,479.91

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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.