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Finding the Fourth Proportional to 9,883.86, 14,825.82 and 8,026.16

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Solution

The fourth proportional to 9,883.86, 14,825.82 and 8,026.16 is: 12,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.86 : 14,825.82 = 8,026.16 : x
  2. Step 2: Convert to fraction form
    9,883.86/14,825.82 = 8,026.16/x
  3. Step 3: Cross multiply
    9,883.86x = 14,825.82 × 8,026.16
  4. Step 4: Simplify right side
    9,883.86x = 118,994,403.45
  5. Step 5: Solve for x
    x = 118,994,403.45/9,883.86
  6. Step 6: Final answer
    x = 12,039.26

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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.