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Finding the Fourth Proportional to 15,546, 23,327.04 and 6,184

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Solution

The fourth proportional to 15,546, 23,327.04 and 6,184 is: 9,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546 : 23,327.04 = 6,184 : x
  2. Step 2: Convert to fraction form
    15,546/23,327.04 = 6,184/x
  3. Step 3: Cross multiply
    15,546x = 23,327.04 × 6,184
  4. Step 4: Simplify right side
    15,546x = 144,254,415.36
  5. Step 5: Solve for x
    x = 144,254,415.36/15,546
  6. Step 6: Final answer
    x = 9,279.20

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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.