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Finding the Fourth Proportional to 8,074.44, 11,140.74 and 4,929.48

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Solution

The fourth proportional to 8,074.44, 11,140.74 and 4,929.48 is: 6,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.44 : 11,140.74 = 4,929.48 : x
  2. Step 2: Convert to fraction form
    8,074.44/11,140.74 = 4,929.48/x
  3. Step 3: Cross multiply
    8,074.44x = 11,140.74 × 4,929.48
  4. Step 4: Simplify right side
    8,074.44x = 54,918,055.02
  5. Step 5: Solve for x
    x = 54,918,055.02/8,074.44
  6. Step 6: Final answer
    x = 6,801.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.