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Finding the Fourth Proportional to 9,226.86, 13,864.05 and 7,671.66

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Solution

The fourth proportional to 9,226.86, 13,864.05 and 7,671.66 is: 11,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.86 : 13,864.05 = 7,671.66 : x
  2. Step 2: Convert to fraction form
    9,226.86/13,864.05 = 7,671.66/x
  3. Step 3: Cross multiply
    9,226.86x = 13,864.05 × 7,671.66
  4. Step 4: Simplify right side
    9,226.86x = 106,360,277.82
  5. Step 5: Solve for x
    x = 106,360,277.82/9,226.86
  6. Step 6: Final answer
    x = 11,527.25

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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.