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Finding the Fourth Proportional to 19,980.20, 29,970.30 and 6,829.40

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Solution

The fourth proportional to 19,980.20, 29,970.30 and 6,829.40 is: 10,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.20 : 29,970.30 = 6,829.40 : x
  2. Step 2: Convert to fraction form
    19,980.20/29,970.30 = 6,829.40/x
  3. Step 3: Cross multiply
    19,980.20x = 29,970.30 × 6,829.40
  4. Step 4: Simplify right side
    19,980.20x = 204,679,166.82
  5. Step 5: Solve for x
    x = 204,679,166.82/19,980.20
  6. Step 6: Final answer
    x = 10,244.10

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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.