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Finding the Fourth Proportional to 10,578.78, 14,598.70 and 6,102.46

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Solution

The fourth proportional to 10,578.78, 14,598.70 and 6,102.46 is: 8,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.78 : 14,598.70 = 6,102.46 : x
  2. Step 2: Convert to fraction form
    10,578.78/14,598.70 = 6,102.46/x
  3. Step 3: Cross multiply
    10,578.78x = 14,598.70 × 6,102.46
  4. Step 4: Simplify right side
    10,578.78x = 89,087,982.80
  5. Step 5: Solve for x
    x = 89,087,982.80/10,578.78
  6. Step 6: Final answer
    x = 8,421.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.