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Finding the Fourth Proportional to 9,516, 14,274.18 and 2,590.68

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Solution

The fourth proportional to 9,516, 14,274.18 and 2,590.68 is: 3,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516 : 14,274.18 = 2,590.68 : x
  2. Step 2: Convert to fraction form
    9,516/14,274.18 = 2,590.68/x
  3. Step 3: Cross multiply
    9,516x = 14,274.18 × 2,590.68
  4. Step 4: Simplify right side
    9,516x = 36,979,832.64
  5. Step 5: Solve for x
    x = 36,979,832.64/9,516
  6. Step 6: Final answer
    x = 3,886.07

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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.