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Finding the Fourth Proportional to 12,070, 18,090.38 and 6,223.40

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Solution

The fourth proportional to 12,070, 18,090.38 and 6,223.40 is: 9,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070 : 18,090.38 = 6,223.40 : x
  2. Step 2: Convert to fraction form
    12,070/18,090.38 = 6,223.40/x
  3. Step 3: Cross multiply
    12,070x = 18,090.38 × 6,223.40
  4. Step 4: Simplify right side
    12,070x = 112,583,670.89
  5. Step 5: Solve for x
    x = 112,583,670.89/12,070
  6. Step 6: Final answer
    x = 9,327.56

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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.