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Finding the Fourth Proportional to 9,644.09, 14,475.04 and 5,953.53

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Solution

The fourth proportional to 9,644.09, 14,475.04 and 5,953.53 is: 8,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.09 : 14,475.04 = 5,953.53 : x
  2. Step 2: Convert to fraction form
    9,644.09/14,475.04 = 5,953.53/x
  3. Step 3: Cross multiply
    9,644.09x = 14,475.04 × 5,953.53
  4. Step 4: Simplify right side
    9,644.09x = 86,177,512.52
  5. Step 5: Solve for x
    x = 86,177,512.52/9,644.09
  6. Step 6: Final answer
    x = 8,935.79

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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.