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Finding the Fourth Proportional to 6,587.87, 9,873.09 and 3,946.86

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Solution

The fourth proportional to 6,587.87, 9,873.09 and 3,946.86 is: 5,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.87 : 9,873.09 = 3,946.86 : x
  2. Step 2: Convert to fraction form
    6,587.87/9,873.09 = 3,946.86/x
  3. Step 3: Cross multiply
    6,587.87x = 9,873.09 × 3,946.86
  4. Step 4: Simplify right side
    6,587.87x = 38,967,704.00
  5. Step 5: Solve for x
    x = 38,967,704.00/6,587.87
  6. Step 6: Final answer
    x = 5,915.07

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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.