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Finding the Fourth Proportional to 4,736.94, 6,537 and 2,748.67

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Solution

The fourth proportional to 4,736.94, 6,537 and 2,748.67 is: 3,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.94 : 6,537 = 2,748.67 : x
  2. Step 2: Convert to fraction form
    4,736.94/6,537 = 2,748.67/x
  3. Step 3: Cross multiply
    4,736.94x = 6,537 × 2,748.67
  4. Step 4: Simplify right side
    4,736.94x = 17,968,055.79
  5. Step 5: Solve for x
    x = 17,968,055.79/4,736.94
  6. Step 6: Final answer
    x = 3,793.18

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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.