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Finding the Fourth Proportional to 6,856.02, 10,292.54 and 6,824.43

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Solution

The fourth proportional to 6,856.02, 10,292.54 and 6,824.43 is: 10,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.02 : 10,292.54 = 6,824.43 : x
  2. Step 2: Convert to fraction form
    6,856.02/10,292.54 = 6,824.43/x
  3. Step 3: Cross multiply
    6,856.02x = 10,292.54 × 6,824.43
  4. Step 4: Simplify right side
    6,856.02x = 70,240,684.63
  5. Step 5: Solve for x
    x = 70,240,684.63/6,856.02
  6. Step 6: Final answer
    x = 10,245.11

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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.