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Finding the Fourth Proportional to 4,348.56, 6,523.05 and 1,426.86

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Solution

The fourth proportional to 4,348.56, 6,523.05 and 1,426.86 is: 2,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.56 : 6,523.05 = 1,426.86 : x
  2. Step 2: Convert to fraction form
    4,348.56/6,523.05 = 1,426.86/x
  3. Step 3: Cross multiply
    4,348.56x = 6,523.05 × 1,426.86
  4. Step 4: Simplify right side
    4,348.56x = 9,307,479.12
  5. Step 5: Solve for x
    x = 9,307,479.12/4,348.56
  6. Step 6: Final answer
    x = 2,140.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.