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Finding the Fourth Proportional to 6,292.14, 9,436.95 and 5,979.90

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Solution

The fourth proportional to 6,292.14, 9,436.95 and 5,979.90 is: 8,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.14 : 9,436.95 = 5,979.90 : x
  2. Step 2: Convert to fraction form
    6,292.14/9,436.95 = 5,979.90/x
  3. Step 3: Cross multiply
    6,292.14x = 9,436.95 × 5,979.90
  4. Step 4: Simplify right side
    6,292.14x = 56,432,017.31
  5. Step 5: Solve for x
    x = 56,432,017.31/6,292.14
  6. Step 6: Final answer
    x = 8,968.65

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1.5x scale

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.