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Finding the Fourth Proportional to 8,340.25, 11,509.91 and 4,614.25

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Solution

The fourth proportional to 8,340.25, 11,509.91 and 4,614.25 is: 6,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.25 : 11,509.91 = 4,614.25 : x
  2. Step 2: Convert to fraction form
    8,340.25/11,509.91 = 4,614.25/x
  3. Step 3: Cross multiply
    8,340.25x = 11,509.91 × 4,614.25
  4. Step 4: Simplify right side
    8,340.25x = 53,109,602.22
  5. Step 5: Solve for x
    x = 53,109,602.22/8,340.25
  6. Step 6: Final answer
    x = 6,367.87

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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.