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Finding the Fourth Proportional to 12,586.25, 17,369.03 and 6,997.25

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Solution

The fourth proportional to 12,586.25, 17,369.03 and 6,997.25 is: 9,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.25 : 17,369.03 = 6,997.25 : x
  2. Step 2: Convert to fraction form
    12,586.25/17,369.03 = 6,997.25/x
  3. Step 3: Cross multiply
    12,586.25x = 17,369.03 × 6,997.25
  4. Step 4: Simplify right side
    12,586.25x = 121,535,445.17
  5. Step 5: Solve for x
    x = 121,535,445.17/12,586.25
  6. Step 6: Final answer
    x = 9,656.21

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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.