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Finding the Fourth Proportional to 9,205.96, 12,704.16 and 5,014.21

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Solution

The fourth proportional to 9,205.96, 12,704.16 and 5,014.21 is: 6,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.96 : 12,704.16 = 5,014.21 : x
  2. Step 2: Convert to fraction form
    9,205.96/12,704.16 = 5,014.21/x
  3. Step 3: Cross multiply
    9,205.96x = 12,704.16 × 5,014.21
  4. Step 4: Simplify right side
    9,205.96x = 63,701,326.11
  5. Step 5: Solve for x
    x = 63,701,326.11/9,205.96
  6. Step 6: Final answer
    x = 6,919.57

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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.