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Finding the Fourth Proportional to 8,526.97, 12,773.44 and 6,774.94

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Solution

The fourth proportional to 8,526.97, 12,773.44 and 6,774.94 is: 10,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.97 : 12,773.44 = 6,774.94 : x
  2. Step 2: Convert to fraction form
    8,526.97/12,773.44 = 6,774.94/x
  3. Step 3: Cross multiply
    8,526.97x = 12,773.44 × 6,774.94
  4. Step 4: Simplify right side
    8,526.97x = 86,539,289.59
  5. Step 5: Solve for x
    x = 86,539,289.59/8,526.97
  6. Step 6: Final answer
    x = 10,148.89

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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.