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Finding the Fourth Proportional to 9,846.84, 14,786.98 and 6,580.92

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Solution

The fourth proportional to 9,846.84, 14,786.98 and 6,580.92 is: 9,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.84 : 14,786.98 = 6,580.92 : x
  2. Step 2: Convert to fraction form
    9,846.84/14,786.98 = 6,580.92/x
  3. Step 3: Cross multiply
    9,846.84x = 14,786.98 × 6,580.92
  4. Step 4: Simplify right side
    9,846.84x = 97,311,932.42
  5. Step 5: Solve for x
    x = 97,311,932.42/9,846.84
  6. Step 6: Final answer
    x = 9,882.55

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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.