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Finding the Fourth Proportional to 12,802.60, 19,203.90 and 3,442.60

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Solution

The fourth proportional to 12,802.60, 19,203.90 and 3,442.60 is: 5,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.60 : 19,203.90 = 3,442.60 : x
  2. Step 2: Convert to fraction form
    12,802.60/19,203.90 = 3,442.60/x
  3. Step 3: Cross multiply
    12,802.60x = 19,203.90 × 3,442.60
  4. Step 4: Simplify right side
    12,802.60x = 66,111,346.14
  5. Step 5: Solve for x
    x = 66,111,346.14/12,802.60
  6. Step 6: Final answer
    x = 5,163.90

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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.