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Finding the Fourth Proportional to 6,434.64, 8,874.36 and 4,946.22

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Solution

The fourth proportional to 6,434.64, 8,874.36 and 4,946.22 is: 6,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.64 : 8,874.36 = 4,946.22 : x
  2. Step 2: Convert to fraction form
    6,434.64/8,874.36 = 4,946.22/x
  3. Step 3: Cross multiply
    6,434.64x = 8,874.36 × 4,946.22
  4. Step 4: Simplify right side
    6,434.64x = 43,894,536.92
  5. Step 5: Solve for x
    x = 43,894,536.92/6,434.64
  6. Step 6: Final answer
    x = 6,821.60

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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.