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Finding the Fourth Proportional to 11,864.55, 16,375.58 and 9,873.16

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Solution

The fourth proportional to 11,864.55, 16,375.58 and 9,873.16 is: 13,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.55 : 16,375.58 = 9,873.16 : x
  2. Step 2: Convert to fraction form
    11,864.55/16,375.58 = 9,873.16/x
  3. Step 3: Cross multiply
    11,864.55x = 16,375.58 × 9,873.16
  4. Step 4: Simplify right side
    11,864.55x = 161,678,721.43
  5. Step 5: Solve for x
    x = 161,678,721.43/11,864.55
  6. Step 6: Final answer
    x = 13,627.04

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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.