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Finding the Fourth Proportional to 8,294.10, 12,415.23 and 6,333.30

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Solution

The fourth proportional to 8,294.10, 12,415.23 and 6,333.30 is: 9,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.10 : 12,415.23 = 6,333.30 : x
  2. Step 2: Convert to fraction form
    8,294.10/12,415.23 = 6,333.30/x
  3. Step 3: Cross multiply
    8,294.10x = 12,415.23 × 6,333.30
  4. Step 4: Simplify right side
    8,294.10x = 78,629,376.16
  5. Step 5: Solve for x
    x = 78,629,376.16/8,294.10
  6. Step 6: Final answer
    x = 9,480.16

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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.