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Finding the Fourth Proportional to 12,686.80, 19,027.52 and 3,802.32

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Solution

The fourth proportional to 12,686.80, 19,027.52 and 3,802.32 is: 5,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.80 : 19,027.52 = 3,802.32 : x
  2. Step 2: Convert to fraction form
    12,686.80/19,027.52 = 3,802.32/x
  3. Step 3: Cross multiply
    12,686.80x = 19,027.52 × 3,802.32
  4. Step 4: Simplify right side
    12,686.80x = 72,348,719.85
  5. Step 5: Solve for x
    x = 72,348,719.85/12,686.80
  6. Step 6: Final answer
    x = 5,702.68

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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.