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Finding the Fourth Proportional to 9,416.84, 12,989.84 and 5,873.90

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Solution

The fourth proportional to 9,416.84, 12,989.84 and 5,873.90 is: 8,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.84 : 12,989.84 = 5,873.90 : x
  2. Step 2: Convert to fraction form
    9,416.84/12,989.84 = 5,873.90/x
  3. Step 3: Cross multiply
    9,416.84x = 12,989.84 × 5,873.90
  4. Step 4: Simplify right side
    9,416.84x = 76,301,021.18
  5. Step 5: Solve for x
    x = 76,301,021.18/9,416.84
  6. Step 6: Final answer
    x = 8,102.61

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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.