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Finding the Fourth Proportional to 9,914.46, 14,900.85 and 6,473.58

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Solution

The fourth proportional to 9,914.46, 14,900.85 and 6,473.58 is: 9,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.46 : 14,900.85 = 6,473.58 : x
  2. Step 2: Convert to fraction form
    9,914.46/14,900.85 = 6,473.58/x
  3. Step 3: Cross multiply
    9,914.46x = 14,900.85 × 6,473.58
  4. Step 4: Simplify right side
    9,914.46x = 96,461,844.54
  5. Step 5: Solve for x
    x = 96,461,844.54/9,914.46
  6. Step 6: Final answer
    x = 9,729.41

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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.