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Finding the Fourth Proportional to 19,013.50, 28,524 and 6,530.48

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Solution

The fourth proportional to 19,013.50, 28,524 and 6,530.48 is: 9,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,013.50 : 28,524 = 6,530.48 : x
  2. Step 2: Convert to fraction form
    19,013.50/28,524 = 6,530.48/x
  3. Step 3: Cross multiply
    19,013.50x = 28,524 × 6,530.48
  4. Step 4: Simplify right side
    19,013.50x = 186,275,411.52
  5. Step 5: Solve for x
    x = 186,275,411.52/19,013.50
  6. Step 6: Final answer
    x = 9,797.01

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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.