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Finding the Fourth Proportional to 10,684.35, 14,744.12 and 5,968.35

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Solution

The fourth proportional to 10,684.35, 14,744.12 and 5,968.35 is: 8,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.35 : 14,744.12 = 5,968.35 : x
  2. Step 2: Convert to fraction form
    10,684.35/14,744.12 = 5,968.35/x
  3. Step 3: Cross multiply
    10,684.35x = 14,744.12 × 5,968.35
  4. Step 4: Simplify right side
    10,684.35x = 87,998,038.76
  5. Step 5: Solve for x
    x = 87,998,038.76/10,684.35
  6. Step 6: Final answer
    x = 8,236.16

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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.