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Finding the Fourth Proportional to 13,258, 18,296.04 and 7,669

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Solution

The fourth proportional to 13,258, 18,296.04 and 7,669 is: 10,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258 : 18,296.04 = 7,669 : x
  2. Step 2: Convert to fraction form
    13,258/18,296.04 = 7,669/x
  3. Step 3: Cross multiply
    13,258x = 18,296.04 × 7,669
  4. Step 4: Simplify right side
    13,258x = 140,312,330.76
  5. Step 5: Solve for x
    x = 140,312,330.76/13,258
  6. Step 6: Final answer
    x = 10,583.22

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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.