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Finding the Fourth Proportional to 14,199.44, 19,594.64 and 7,826.16

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Solution

The fourth proportional to 14,199.44, 19,594.64 and 7,826.16 is: 10,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199.44 : 19,594.64 = 7,826.16 : x
  2. Step 2: Convert to fraction form
    14,199.44/19,594.64 = 7,826.16/x
  3. Step 3: Cross multiply
    14,199.44x = 19,594.64 × 7,826.16
  4. Step 4: Simplify right side
    14,199.44x = 153,350,787.78
  5. Step 5: Solve for x
    x = 153,350,787.78/14,199.44
  6. Step 6: Final answer
    x = 10,799.78

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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.