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Finding the Fourth Proportional to 4,946.08, 7,414.80 and 4,220.32

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Solution

The fourth proportional to 4,946.08, 7,414.80 and 4,220.32 is: 6,326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.08 : 7,414.80 = 4,220.32 : x
  2. Step 2: Convert to fraction form
    4,946.08/7,414.80 = 4,220.32/x
  3. Step 3: Cross multiply
    4,946.08x = 7,414.80 × 4,220.32
  4. Step 4: Simplify right side
    4,946.08x = 31,292,828.74
  5. Step 5: Solve for x
    x = 31,292,828.74/4,946.08
  6. Step 6: Final answer
    x = 6,326.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.