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Finding the Fourth Proportional to 8,152.75, 12,191.74 and 6,074.17

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Solution

The fourth proportional to 8,152.75, 12,191.74 and 6,074.17 is: 9,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.75 : 12,191.74 = 6,074.17 : x
  2. Step 2: Convert to fraction form
    8,152.75/12,191.74 = 6,074.17/x
  3. Step 3: Cross multiply
    8,152.75x = 12,191.74 × 6,074.17
  4. Step 4: Simplify right side
    8,152.75x = 74,054,701.36
  5. Step 5: Solve for x
    x = 74,054,701.36/8,152.75
  6. Step 6: Final answer
    x = 9,083.40

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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.