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Finding the Fourth Proportional to 12,606.20, 17,396.64 and 7,017.20

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Solution

The fourth proportional to 12,606.20, 17,396.64 and 7,017.20 is: 9,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.20 : 17,396.64 = 7,017.20 : x
  2. Step 2: Convert to fraction form
    12,606.20/17,396.64 = 7,017.20/x
  3. Step 3: Cross multiply
    12,606.20x = 17,396.64 × 7,017.20
  4. Step 4: Simplify right side
    12,606.20x = 122,075,702.21
  5. Step 5: Solve for x
    x = 122,075,702.21/12,606.20
  6. Step 6: Final answer
    x = 9,683.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.