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Finding the Fourth Proportional to 4,516, 6,774.32 and 1,514.08

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Solution

The fourth proportional to 4,516, 6,774.32 and 1,514.08 is: 2,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516 : 6,774.32 = 1,514.08 : x
  2. Step 2: Convert to fraction form
    4,516/6,774.32 = 1,514.08/x
  3. Step 3: Cross multiply
    4,516x = 6,774.32 × 1,514.08
  4. Step 4: Simplify right side
    4,516x = 10,256,862.43
  5. Step 5: Solve for x
    x = 10,256,862.43/4,516
  6. Step 6: Final answer
    x = 2,271.23

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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.