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Finding the Fourth Proportional to 11,748.65, 16,213.37 and 7,212.65

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Solution

The fourth proportional to 11,748.65, 16,213.37 and 7,212.65 is: 9,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.65 : 16,213.37 = 7,212.65 : x
  2. Step 2: Convert to fraction form
    11,748.65/16,213.37 = 7,212.65/x
  3. Step 3: Cross multiply
    11,748.65x = 16,213.37 × 7,212.65
  4. Step 4: Simplify right side
    11,748.65x = 116,941,246.00
  5. Step 5: Solve for x
    x = 116,941,246.00/11,748.65
  6. Step 6: Final answer
    x = 9,953.59

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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.