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Finding the Fourth Proportional to 27,610, 38,099.40 and 15,673.84

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Solution

The fourth proportional to 27,610, 38,099.40 and 15,673.84 is: 21,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,610 : 38,099.40 = 15,673.84 : x
  2. Step 2: Convert to fraction form
    27,610/38,099.40 = 15,673.84/x
  3. Step 3: Cross multiply
    27,610x = 38,099.40 × 15,673.84
  4. Step 4: Simplify right side
    27,610x = 597,163,899.70
  5. Step 5: Solve for x
    x = 597,163,899.70/27,610
  6. Step 6: Final answer
    x = 21,628.54

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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.