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Finding the Fourth Proportional to 13,794.48, 19,035.90 and 7,826.04

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Solution

The fourth proportional to 13,794.48, 19,035.90 and 7,826.04 is: 10,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.48 : 19,035.90 = 7,826.04 : x
  2. Step 2: Convert to fraction form
    13,794.48/19,035.90 = 7,826.04/x
  3. Step 3: Cross multiply
    13,794.48x = 19,035.90 × 7,826.04
  4. Step 4: Simplify right side
    13,794.48x = 148,975,714.84
  5. Step 5: Solve for x
    x = 148,975,714.84/13,794.48
  6. Step 6: Final answer
    x = 10,799.66

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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.