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Finding the Fourth Proportional to 9,644.76, 14,472.57 and 4,450.64

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Solution

The fourth proportional to 9,644.76, 14,472.57 and 4,450.64 is: 6,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.76 : 14,472.57 = 4,450.64 : x
  2. Step 2: Convert to fraction form
    9,644.76/14,472.57 = 4,450.64/x
  3. Step 3: Cross multiply
    9,644.76x = 14,472.57 × 4,450.64
  4. Step 4: Simplify right side
    9,644.76x = 64,412,126.58
  5. Step 5: Solve for x
    x = 64,412,126.58/9,644.76
  6. Step 6: Final answer
    x = 6,678.46

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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.