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Finding the Fourth Proportional to 12,782.26, 19,173.40 and 4,017.40

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Solution

The fourth proportional to 12,782.26, 19,173.40 and 4,017.40 is: 6,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.26 : 19,173.40 = 4,017.40 : x
  2. Step 2: Convert to fraction form
    12,782.26/19,173.40 = 4,017.40/x
  3. Step 3: Cross multiply
    12,782.26x = 19,173.40 × 4,017.40
  4. Step 4: Simplify right side
    12,782.26x = 77,027,217.16
  5. Step 5: Solve for x
    x = 77,027,217.16/12,782.26
  6. Step 6: Final answer
    x = 6,026.10

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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.