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Finding the Fourth Proportional to 6,441.57, 8,893.32 and 4,946.58

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Solution

The fourth proportional to 6,441.57, 8,893.32 and 4,946.58 is: 6,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.57 : 8,893.32 = 4,946.58 : x
  2. Step 2: Convert to fraction form
    6,441.57/8,893.32 = 4,946.58/x
  3. Step 3: Cross multiply
    6,441.57x = 8,893.32 × 4,946.58
  4. Step 4: Simplify right side
    6,441.57x = 43,991,518.85
  5. Step 5: Solve for x
    x = 43,991,518.85/6,441.57
  6. Step 6: Final answer
    x = 6,829.32

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Double scale
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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.