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Finding the Fourth Proportional to 7,014.86, 10,503.10 and 6,828.96

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Solution

The fourth proportional to 7,014.86, 10,503.10 and 6,828.96 is: 10,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.86 : 10,503.10 = 6,828.96 : x
  2. Step 2: Convert to fraction form
    7,014.86/10,503.10 = 6,828.96/x
  3. Step 3: Cross multiply
    7,014.86x = 10,503.10 × 6,828.96
  4. Step 4: Simplify right side
    7,014.86x = 71,725,249.78
  5. Step 5: Solve for x
    x = 71,725,249.78/7,014.86
  6. Step 6: Final answer
    x = 10,224.76

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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.