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Finding the Fourth Proportional to 12,465.25, 17,203.26 and 6,876.25

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Solution

The fourth proportional to 12,465.25, 17,203.26 and 6,876.25 is: 9,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.25 : 17,203.26 = 6,876.25 : x
  2. Step 2: Convert to fraction form
    12,465.25/17,203.26 = 6,876.25/x
  3. Step 3: Cross multiply
    12,465.25x = 17,203.26 × 6,876.25
  4. Step 4: Simplify right side
    12,465.25x = 118,293,916.58
  5. Step 5: Solve for x
    x = 118,293,916.58/12,465.25
  6. Step 6: Final answer
    x = 9,489.90

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1.5x scale

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.