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Finding the Fourth Proportional to 11,899.65, 16,421.72 and 7,186.65

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Solution

The fourth proportional to 11,899.65, 16,421.72 and 7,186.65 is: 9,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.65 : 16,421.72 = 7,186.65 : x
  2. Step 2: Convert to fraction form
    11,899.65/16,421.72 = 7,186.65/x
  3. Step 3: Cross multiply
    11,899.65x = 16,421.72 × 7,186.65
  4. Step 4: Simplify right side
    11,899.65x = 118,017,118.10
  5. Step 5: Solve for x
    x = 118,017,118.10/11,899.65
  6. Step 6: Final answer
    x = 9,917.70

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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.