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Finding the Fourth Proportional to 10,311.84, 14,230.08 and 5,835.51

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Solution

The fourth proportional to 10,311.84, 14,230.08 and 5,835.51 is: 8,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.84 : 14,230.08 = 5,835.51 : x
  2. Step 2: Convert to fraction form
    10,311.84/14,230.08 = 5,835.51/x
  3. Step 3: Cross multiply
    10,311.84x = 14,230.08 × 5,835.51
  4. Step 4: Simplify right side
    10,311.84x = 83,039,774.14
  5. Step 5: Solve for x
    x = 83,039,774.14/10,311.84
  6. Step 6: Final answer
    x = 8,052.86

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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.