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Finding the Fourth Proportional to 5,486.96, 7,573.68 and 4,748.85

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Solution

The fourth proportional to 5,486.96, 7,573.68 and 4,748.85 is: 6,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.96 : 7,573.68 = 4,748.85 : x
  2. Step 2: Convert to fraction form
    5,486.96/7,573.68 = 4,748.85/x
  3. Step 3: Cross multiply
    5,486.96x = 7,573.68 × 4,748.85
  4. Step 4: Simplify right side
    5,486.96x = 35,966,270.27
  5. Step 5: Solve for x
    x = 35,966,270.27/5,486.96
  6. Step 6: Final answer
    x = 6,554.87

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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.