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Finding the Fourth Proportional to 15,284, 22,926 and 4,340

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Solution

The fourth proportional to 15,284, 22,926 and 4,340 is: 6,510

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284 : 22,926 = 4,340 : x
  2. Step 2: Convert to fraction form
    15,284/22,926 = 4,340/x
  3. Step 3: Cross multiply
    15,284x = 22,926 × 4,340
  4. Step 4: Simplify right side
    15,284x = 99,498,840
  5. Step 5: Solve for x
    x = 99,498,840/15,284
  6. Step 6: Final answer
    x = 6,510

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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.