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Finding the Fourth Proportional to 6,570.87, 9,071.06 and 4,183.22

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Solution

The fourth proportional to 6,570.87, 9,071.06 and 4,183.22 is: 5,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.87 : 9,071.06 = 4,183.22 : x
  2. Step 2: Convert to fraction form
    6,570.87/9,071.06 = 4,183.22/x
  3. Step 3: Cross multiply
    6,570.87x = 9,071.06 × 4,183.22
  4. Step 4: Simplify right side
    6,570.87x = 37,946,173.34
  5. Step 5: Solve for x
    x = 37,946,173.34/6,570.87
  6. Step 6: Final answer
    x = 5,774.91

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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.