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Finding the Fourth Proportional to 19,013.51, 28,524 and 6,530.49

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Solution

The fourth proportional to 19,013.51, 28,524 and 6,530.49 is: 9,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,013.51 : 28,524 = 6,530.49 : x
  2. Step 2: Convert to fraction form
    19,013.51/28,524 = 6,530.49/x
  3. Step 3: Cross multiply
    19,013.51x = 28,524 × 6,530.49
  4. Step 4: Simplify right side
    19,013.51x = 186,275,696.76
  5. Step 5: Solve for x
    x = 186,275,696.76/19,013.51
  6. Step 6: Final answer
    x = 9,797.02

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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.