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Finding the Fourth Proportional to 6,104.26, 8,424 and 3,713.40

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Solution

The fourth proportional to 6,104.26, 8,424 and 3,713.40 is: 5,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.26 : 8,424 = 3,713.40 : x
  2. Step 2: Convert to fraction form
    6,104.26/8,424 = 3,713.40/x
  3. Step 3: Cross multiply
    6,104.26x = 8,424 × 3,713.40
  4. Step 4: Simplify right side
    6,104.26x = 31,281,681.60
  5. Step 5: Solve for x
    x = 31,281,681.60/6,104.26
  6. Step 6: Final answer
    x = 5,124.57

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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.