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Finding the Fourth Proportional to 13,203.86, 19,798.68 and 5,799.80

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Solution

The fourth proportional to 13,203.86, 19,798.68 and 5,799.80 is: 8,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.86 : 19,798.68 = 5,799.80 : x
  2. Step 2: Convert to fraction form
    13,203.86/19,798.68 = 5,799.80/x
  3. Step 3: Cross multiply
    13,203.86x = 19,798.68 × 5,799.80
  4. Step 4: Simplify right side
    13,203.86x = 114,828,384.26
  5. Step 5: Solve for x
    x = 114,828,384.26/13,203.86
  6. Step 6: Final answer
    x = 8,696.58

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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.