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Finding the Fourth Proportional to 13,653.78, 20,458.80 and 7,807.20

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Solution

The fourth proportional to 13,653.78, 20,458.80 and 7,807.20 is: 11,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.78 : 20,458.80 = 7,807.20 : x
  2. Step 2: Convert to fraction form
    13,653.78/20,458.80 = 7,807.20/x
  3. Step 3: Cross multiply
    13,653.78x = 20,458.80 × 7,807.20
  4. Step 4: Simplify right side
    13,653.78x = 159,725,943.36
  5. Step 5: Solve for x
    x = 159,725,943.36/13,653.78
  6. Step 6: Final answer
    x = 11,698.29

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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.