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Finding the Fourth Proportional to 10,934.74, 15,090 and 6,219.10

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Solution

The fourth proportional to 10,934.74, 15,090 and 6,219.10 is: 8,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.74 : 15,090 = 6,219.10 : x
  2. Step 2: Convert to fraction form
    10,934.74/15,090 = 6,219.10/x
  3. Step 3: Cross multiply
    10,934.74x = 15,090 × 6,219.10
  4. Step 4: Simplify right side
    10,934.74x = 93,846,219
  5. Step 5: Solve for x
    x = 93,846,219/10,934.74
  6. Step 6: Final answer
    x = 8,582.39

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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.