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Finding the Fourth Proportional to 13,924.10, 20,888.49 and 6,904.46

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Solution

The fourth proportional to 13,924.10, 20,888.49 and 6,904.46 is: 10,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.10 : 20,888.49 = 6,904.46 : x
  2. Step 2: Convert to fraction form
    13,924.10/20,888.49 = 6,904.46/x
  3. Step 3: Cross multiply
    13,924.10x = 20,888.49 × 6,904.46
  4. Step 4: Simplify right side
    13,924.10x = 144,223,743.67
  5. Step 5: Solve for x
    x = 144,223,743.67/13,924.10
  6. Step 6: Final answer
    x = 10,357.85

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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.