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Finding the Fourth Proportional to 6,484.91, 8,946.86 and 3,830.44

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Solution

The fourth proportional to 6,484.91, 8,946.86 and 3,830.44 is: 5,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.91 : 8,946.86 = 3,830.44 : x
  2. Step 2: Convert to fraction form
    6,484.91/8,946.86 = 3,830.44/x
  3. Step 3: Cross multiply
    6,484.91x = 8,946.86 × 3,830.44
  4. Step 4: Simplify right side
    6,484.91x = 34,270,385.67
  5. Step 5: Solve for x
    x = 34,270,385.67/6,484.91
  6. Step 6: Final answer
    x = 5,284.64

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1.5x scale

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.