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Finding the Fourth Proportional to 11,864.70, 17,797.04 and 11,143

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Solution

The fourth proportional to 11,864.70, 17,797.04 and 11,143 is: 16,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.70 : 17,797.04 = 11,143 : x
  2. Step 2: Convert to fraction form
    11,864.70/17,797.04 = 11,143/x
  3. Step 3: Cross multiply
    11,864.70x = 17,797.04 × 11,143
  4. Step 4: Simplify right side
    11,864.70x = 198,312,416.72
  5. Step 5: Solve for x
    x = 198,312,416.72/11,864.70
  6. Step 6: Final answer
    x = 16,714.49

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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.