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Finding the Fourth Proportional to 17,648.86, 26,465.51 and 8,291.54

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Solution

The fourth proportional to 17,648.86, 26,465.51 and 8,291.54 is: 12,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.86 : 26,465.51 = 8,291.54 : x
  2. Step 2: Convert to fraction form
    17,648.86/26,465.51 = 8,291.54/x
  3. Step 3: Cross multiply
    17,648.86x = 26,465.51 × 8,291.54
  4. Step 4: Simplify right side
    17,648.86x = 219,439,702.46
  5. Step 5: Solve for x
    x = 219,439,702.46/17,648.86
  6. Step 6: Final answer
    x = 12,433.65

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1.5x scale

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.