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Finding the Fourth Proportional to 6,574.56, 9,074.16 and 4,219.68

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Solution

The fourth proportional to 6,574.56, 9,074.16 and 4,219.68 is: 5,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.56 : 9,074.16 = 4,219.68 : x
  2. Step 2: Convert to fraction form
    6,574.56/9,074.16 = 4,219.68/x
  3. Step 3: Cross multiply
    6,574.56x = 9,074.16 × 4,219.68
  4. Step 4: Simplify right side
    6,574.56x = 38,290,051.47
  5. Step 5: Solve for x
    x = 38,290,051.47/6,574.56
  6. Step 6: Final answer
    x = 5,823.97

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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.