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Finding the Fourth Proportional to 19,636, 27,097.47 and 11,678.05

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Solution

The fourth proportional to 19,636, 27,097.47 and 11,678.05 is: 16,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,636 : 27,097.47 = 11,678.05 : x
  2. Step 2: Convert to fraction form
    19,636/27,097.47 = 11,678.05/x
  3. Step 3: Cross multiply
    19,636x = 27,097.47 × 11,678.05
  4. Step 4: Simplify right side
    19,636x = 316,445,609.53
  5. Step 5: Solve for x
    x = 316,445,609.53/19,636
  6. Step 6: Final answer
    x = 16,115.58

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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.