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Finding the Fourth Proportional to 12,323.54, 17,006.54 and 6,734.54

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Solution

The fourth proportional to 12,323.54, 17,006.54 and 6,734.54 is: 9,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.54 : 17,006.54 = 6,734.54 : x
  2. Step 2: Convert to fraction form
    12,323.54/17,006.54 = 6,734.54/x
  3. Step 3: Cross multiply
    12,323.54x = 17,006.54 × 6,734.54
  4. Step 4: Simplify right side
    12,323.54x = 114,531,223.89
  5. Step 5: Solve for x
    x = 114,531,223.89/12,323.54
  6. Step 6: Final answer
    x = 9,293.70

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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.