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Finding the Fourth Proportional to 6,574.76, 9,074.40 and 3,924.44

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Solution

The fourth proportional to 6,574.76, 9,074.40 and 3,924.44 is: 5,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.76 : 9,074.40 = 3,924.44 : x
  2. Step 2: Convert to fraction form
    6,574.76/9,074.40 = 3,924.44/x
  3. Step 3: Cross multiply
    6,574.76x = 9,074.40 × 3,924.44
  4. Step 4: Simplify right side
    6,574.76x = 35,611,938.34
  5. Step 5: Solve for x
    x = 35,611,938.34/6,574.76
  6. Step 6: Final answer
    x = 5,416.46

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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.