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Finding the Fourth Proportional to 10,600.84, 14,628.18 and 5,884.84

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Solution

The fourth proportional to 10,600.84, 14,628.18 and 5,884.84 is: 8,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.84 : 14,628.18 = 5,884.84 : x
  2. Step 2: Convert to fraction form
    10,600.84/14,628.18 = 5,884.84/x
  3. Step 3: Cross multiply
    10,600.84x = 14,628.18 × 5,884.84
  4. Step 4: Simplify right side
    10,600.84x = 86,084,498.79
  5. Step 5: Solve for x
    x = 86,084,498.79/10,600.84
  6. Step 6: Final answer
    x = 8,120.54

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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.