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Finding the Fourth Proportional to 6,440.64, 8,893.10 and 4,946.20

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Solution

The fourth proportional to 6,440.64, 8,893.10 and 4,946.20 is: 6,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.64 : 8,893.10 = 4,946.20 : x
  2. Step 2: Convert to fraction form
    6,440.64/8,893.10 = 4,946.20/x
  3. Step 3: Cross multiply
    6,440.64x = 8,893.10 × 4,946.20
  4. Step 4: Simplify right side
    6,440.64x = 43,987,051.22
  5. Step 5: Solve for x
    x = 43,987,051.22/6,440.64
  6. Step 6: Final answer
    x = 6,829.61

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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.