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Finding the Fourth Proportional to 6,814.89, 9,405.32 and 4,932.45

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Solution

The fourth proportional to 6,814.89, 9,405.32 and 4,932.45 is: 6,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.89 : 9,405.32 = 4,932.45 : x
  2. Step 2: Convert to fraction form
    6,814.89/9,405.32 = 4,932.45/x
  3. Step 3: Cross multiply
    6,814.89x = 9,405.32 × 4,932.45
  4. Step 4: Simplify right side
    6,814.89x = 46,391,245.97
  5. Step 5: Solve for x
    x = 46,391,245.97/6,814.89
  6. Step 6: Final answer
    x = 6,807.34

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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.