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Finding the Fourth Proportional to 4,570.42, 6,823.16 and 4,408.42

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Solution

The fourth proportional to 4,570.42, 6,823.16 and 4,408.42 is: 6,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.42 : 6,823.16 = 4,408.42 : x
  2. Step 2: Convert to fraction form
    4,570.42/6,823.16 = 4,408.42/x
  3. Step 3: Cross multiply
    4,570.42x = 6,823.16 × 4,408.42
  4. Step 4: Simplify right side
    4,570.42x = 30,079,355.01
  5. Step 5: Solve for x
    x = 30,079,355.01/4,570.42
  6. Step 6: Final answer
    x = 6,581.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.