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Finding the Fourth Proportional to 10,393, 15,595.14 and 6,019

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Solution

The fourth proportional to 10,393, 15,595.14 and 6,019 is: 9,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393 : 15,595.14 = 6,019 : x
  2. Step 2: Convert to fraction form
    10,393/15,595.14 = 6,019/x
  3. Step 3: Cross multiply
    10,393x = 15,595.14 × 6,019
  4. Step 4: Simplify right side
    10,393x = 93,867,147.66
  5. Step 5: Solve for x
    x = 93,867,147.66/10,393
  6. Step 6: Final answer
    x = 9,031.77

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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.