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Finding the Fourth Proportional to 12,546, 18,827.64 and 4,338

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Solution

The fourth proportional to 12,546, 18,827.64 and 4,338 is: 6,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 18,827.64 = 4,338 : x
  2. Step 2: Convert to fraction form
    12,546/18,827.64 = 4,338/x
  3. Step 3: Cross multiply
    12,546x = 18,827.64 × 4,338
  4. Step 4: Simplify right side
    12,546x = 81,674,302.32
  5. Step 5: Solve for x
    x = 81,674,302.32/12,546
  6. Step 6: Final answer
    x = 6,509.99

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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.