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Finding the Fourth Proportional to 6,952, 9,594.69 and 4,119.15

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Solution

The fourth proportional to 6,952, 9,594.69 and 4,119.15 is: 5,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952 : 9,594.69 = 4,119.15 : x
  2. Step 2: Convert to fraction form
    6,952/9,594.69 = 4,119.15/x
  3. Step 3: Cross multiply
    6,952x = 9,594.69 × 4,119.15
  4. Step 4: Simplify right side
    6,952x = 39,521,967.31
  5. Step 5: Solve for x
    x = 39,521,967.31/6,952
  6. Step 6: Final answer
    x = 5,684.98

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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.