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Finding the Fourth Proportional to 9,713.62, 14,586.68 and 8,491.64

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Solution

The fourth proportional to 9,713.62, 14,586.68 and 8,491.64 is: 12,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.62 : 14,586.68 = 8,491.64 : x
  2. Step 2: Convert to fraction form
    9,713.62/14,586.68 = 8,491.64/x
  3. Step 3: Cross multiply
    9,713.62x = 14,586.68 × 8,491.64
  4. Step 4: Simplify right side
    9,713.62x = 123,864,783.65
  5. Step 5: Solve for x
    x = 123,864,783.65/9,713.62
  6. Step 6: Final answer
    x = 12,751.66

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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.