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Finding the Fourth Proportional to 9,346.32, 12,903 and 6,825.84

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Solution

The fourth proportional to 9,346.32, 12,903 and 6,825.84 is: 9,423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.32 : 12,903 = 6,825.84 : x
  2. Step 2: Convert to fraction form
    9,346.32/12,903 = 6,825.84/x
  3. Step 3: Cross multiply
    9,346.32x = 12,903 × 6,825.84
  4. Step 4: Simplify right side
    9,346.32x = 88,073,813.52
  5. Step 5: Solve for x
    x = 88,073,813.52/9,346.32
  6. Step 6: Final answer
    x = 9,423.37

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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.