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Finding the Fourth Proportional to 4,866.54, 7,305.27 and 1,946.88

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Solution

The fourth proportional to 4,866.54, 7,305.27 and 1,946.88 is: 2,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.54 : 7,305.27 = 1,946.88 : x
  2. Step 2: Convert to fraction form
    4,866.54/7,305.27 = 1,946.88/x
  3. Step 3: Cross multiply
    4,866.54x = 7,305.27 × 1,946.88
  4. Step 4: Simplify right side
    4,866.54x = 14,222,484.06
  5. Step 5: Solve for x
    x = 14,222,484.06/4,866.54
  6. Step 6: Final answer
    x = 2,922.50

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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.