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Finding the Fourth Proportional to 5,967.86, 8,951.08 and 1,585.65

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Solution

The fourth proportional to 5,967.86, 8,951.08 and 1,585.65 is: 2,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.86 : 8,951.08 = 1,585.65 : x
  2. Step 2: Convert to fraction form
    5,967.86/8,951.08 = 1,585.65/x
  3. Step 3: Cross multiply
    5,967.86x = 8,951.08 × 1,585.65
  4. Step 4: Simplify right side
    5,967.86x = 14,193,280.00
  5. Step 5: Solve for x
    x = 14,193,280.00/5,967.86
  6. Step 6: Final answer
    x = 2,378.29

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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.