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Finding the Fourth Proportional to 4,733.64, 7,106.73 and 4,044.73

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Solution

The fourth proportional to 4,733.64, 7,106.73 and 4,044.73 is: 6,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.64 : 7,106.73 = 4,044.73 : x
  2. Step 2: Convert to fraction form
    4,733.64/7,106.73 = 4,044.73/x
  3. Step 3: Cross multiply
    4,733.64x = 7,106.73 × 4,044.73
  4. Step 4: Simplify right side
    4,733.64x = 28,744,804.03
  5. Step 5: Solve for x
    x = 28,744,804.03/4,733.64
  6. Step 6: Final answer
    x = 6,072.45

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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.