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Finding the Fourth Proportional to 8,526.10, 12,772.12 and 6,774.07

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Solution

The fourth proportional to 8,526.10, 12,772.12 and 6,774.07 is: 10,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.10 : 12,772.12 = 6,774.07 : x
  2. Step 2: Convert to fraction form
    8,526.10/12,772.12 = 6,774.07/x
  3. Step 3: Cross multiply
    8,526.10x = 12,772.12 × 6,774.07
  4. Step 4: Simplify right side
    8,526.10x = 86,519,234.93
  5. Step 5: Solve for x
    x = 86,519,234.93/8,526.10
  6. Step 6: Final answer
    x = 10,147.57

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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.