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Finding the Fourth Proportional to 5,085.98, 7,607.90 and 4,774.94

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Solution

The fourth proportional to 5,085.98, 7,607.90 and 4,774.94 is: 7,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.98 : 7,607.90 = 4,774.94 : x
  2. Step 2: Convert to fraction form
    5,085.98/7,607.90 = 4,774.94/x
  3. Step 3: Cross multiply
    5,085.98x = 7,607.90 × 4,774.94
  4. Step 4: Simplify right side
    5,085.98x = 36,327,266.03
  5. Step 5: Solve for x
    x = 36,327,266.03/5,085.98
  6. Step 6: Final answer
    x = 7,142.63

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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.