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Finding the Fourth Proportional to 7,774.79, 10,732.77 and 5,226.93

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Solution

The fourth proportional to 7,774.79, 10,732.77 and 5,226.93 is: 7,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.79 : 10,732.77 = 5,226.93 : x
  2. Step 2: Convert to fraction form
    7,774.79/10,732.77 = 5,226.93/x
  3. Step 3: Cross multiply
    7,774.79x = 10,732.77 × 5,226.93
  4. Step 4: Simplify right side
    7,774.79x = 56,099,437.50
  5. Step 5: Solve for x
    x = 56,099,437.50/7,774.79
  6. Step 6: Final answer
    x = 7,215.56

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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.