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Finding the Fourth Proportional to 6,124.16, 8,452.16 and 3,640.32

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Solution

The fourth proportional to 6,124.16, 8,452.16 and 3,640.32 is: 5,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.16 : 8,452.16 = 3,640.32 : x
  2. Step 2: Convert to fraction form
    6,124.16/8,452.16 = 3,640.32/x
  3. Step 3: Cross multiply
    6,124.16x = 8,452.16 × 3,640.32
  4. Step 4: Simplify right side
    6,124.16x = 30,768,567.09
  5. Step 5: Solve for x
    x = 30,768,567.09/6,124.16
  6. Step 6: Final answer
    x = 5,024.13

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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.