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Finding the Fourth Proportional to 19,900.96, 27,464.00 and 10,948.84

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Solution

The fourth proportional to 19,900.96, 27,464.00 and 10,948.84 is: 15,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.96 : 27,464.00 = 10,948.84 : x
  2. Step 2: Convert to fraction form
    19,900.96/27,464.00 = 10,948.84/x
  3. Step 3: Cross multiply
    19,900.96x = 27,464.00 × 10,948.84
  4. Step 4: Simplify right side
    19,900.96x = 300,698,818.36
  5. Step 5: Solve for x
    x = 300,698,818.36/19,900.96
  6. Step 6: Final answer
    x = 15,109.77

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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.