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Finding the Fourth Proportional to 4,745.16, 7,111.08 and 1,968.84

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Solution

The fourth proportional to 4,745.16, 7,111.08 and 1,968.84 is: 2,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.16 : 7,111.08 = 1,968.84 : x
  2. Step 2: Convert to fraction form
    4,745.16/7,111.08 = 1,968.84/x
  3. Step 3: Cross multiply
    4,745.16x = 7,111.08 × 1,968.84
  4. Step 4: Simplify right side
    4,745.16x = 14,000,578.75
  5. Step 5: Solve for x
    x = 14,000,578.75/4,745.16
  6. Step 6: Final answer
    x = 2,950.50

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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.