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Finding the Fourth Proportional to 4,537.76, 6,806.02 and 1,764.18

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Solution

The fourth proportional to 4,537.76, 6,806.02 and 1,764.18 is: 2,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.76 : 6,806.02 = 1,764.18 : x
  2. Step 2: Convert to fraction form
    4,537.76/6,806.02 = 1,764.18/x
  3. Step 3: Cross multiply
    4,537.76x = 6,806.02 × 1,764.18
  4. Step 4: Simplify right side
    4,537.76x = 12,007,044.36
  5. Step 5: Solve for x
    x = 12,007,044.36/4,537.76
  6. Step 6: Final answer
    x = 2,646.03

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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.