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Finding the Fourth Proportional to 5,509.86, 8,264.94 and 1,614.26

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Solution

The fourth proportional to 5,509.86, 8,264.94 and 1,614.26 is: 2,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.86 : 8,264.94 = 1,614.26 : x
  2. Step 2: Convert to fraction form
    5,509.86/8,264.94 = 1,614.26/x
  3. Step 3: Cross multiply
    5,509.86x = 8,264.94 × 1,614.26
  4. Step 4: Simplify right side
    5,509.86x = 13,341,720.72
  5. Step 5: Solve for x
    x = 13,341,720.72/5,509.86
  6. Step 6: Final answer
    x = 2,421.43

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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.