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Finding the Fourth Proportional to 12,258, 16,916.04 and 6,669

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Solution

The fourth proportional to 12,258, 16,916.04 and 6,669 is: 9,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258 : 16,916.04 = 6,669 : x
  2. Step 2: Convert to fraction form
    12,258/16,916.04 = 6,669/x
  3. Step 3: Cross multiply
    12,258x = 16,916.04 × 6,669
  4. Step 4: Simplify right side
    12,258x = 112,813,070.76
  5. Step 5: Solve for x
    x = 112,813,070.76/12,258
  6. Step 6: Final answer
    x = 9,203.22

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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.