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Finding the Fourth Proportional to 10,434, 15,651 and 3,508.50

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Solution

The fourth proportional to 10,434, 15,651 and 3,508.50 is: 5,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434 : 15,651 = 3,508.50 : x
  2. Step 2: Convert to fraction form
    10,434/15,651 = 3,508.50/x
  3. Step 3: Cross multiply
    10,434x = 15,651 × 3,508.50
  4. Step 4: Simplify right side
    10,434x = 54,911,533.50
  5. Step 5: Solve for x
    x = 54,911,533.50/10,434
  6. Step 6: Final answer
    x = 5,262.75

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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.