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Finding the Fourth Proportional to 7,674, 10,590.12 and 4,362

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Solution

The fourth proportional to 7,674, 10,590.12 and 4,362 is: 6,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674 : 10,590.12 = 4,362 : x
  2. Step 2: Convert to fraction form
    7,674/10,590.12 = 4,362/x
  3. Step 3: Cross multiply
    7,674x = 10,590.12 × 4,362
  4. Step 4: Simplify right side
    7,674x = 46,194,103.44
  5. Step 5: Solve for x
    x = 46,194,103.44/7,674
  6. Step 6: Final answer
    x = 6,019.56

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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.