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Finding the Fourth Proportional to 9,644.72, 14,448.38 and 6,347.89

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Solution

The fourth proportional to 9,644.72, 14,448.38 and 6,347.89 is: 9,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.72 : 14,448.38 = 6,347.89 : x
  2. Step 2: Convert to fraction form
    9,644.72/14,448.38 = 6,347.89/x
  3. Step 3: Cross multiply
    9,644.72x = 14,448.38 × 6,347.89
  4. Step 4: Simplify right side
    9,644.72x = 91,716,654.68
  5. Step 5: Solve for x
    x = 91,716,654.68/9,644.72
  6. Step 6: Final answer
    x = 9,509.52

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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.