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Finding the Fourth Proportional to 9,262.84, 13,902.03 and 8,678.98

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Solution

The fourth proportional to 9,262.84, 13,902.03 and 8,678.98 is: 13,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.84 : 13,902.03 = 8,678.98 : x
  2. Step 2: Convert to fraction form
    9,262.84/13,902.03 = 8,678.98/x
  3. Step 3: Cross multiply
    9,262.84x = 13,902.03 × 8,678.98
  4. Step 4: Simplify right side
    9,262.84x = 120,655,440.33
  5. Step 5: Solve for x
    x = 120,655,440.33/9,262.84
  6. Step 6: Final answer
    x = 13,025.75

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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.