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Finding the Fourth Proportional to 6,441.47, 8,893.49 and 4,946.70

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Solution

The fourth proportional to 6,441.47, 8,893.49 and 4,946.70 is: 6,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.47 : 8,893.49 = 4,946.70 : x
  2. Step 2: Convert to fraction form
    6,441.47/8,893.49 = 4,946.70/x
  3. Step 3: Cross multiply
    6,441.47x = 8,893.49 × 4,946.70
  4. Step 4: Simplify right side
    6,441.47x = 43,993,426.98
  5. Step 5: Solve for x
    x = 43,993,426.98/6,441.47
  6. Step 6: Final answer
    x = 6,829.72

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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.