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Finding the Fourth Proportional to 10,096.65, 13,933.70 and 5,559.08

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Solution

The fourth proportional to 10,096.65, 13,933.70 and 5,559.08 is: 7,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.65 : 13,933.70 = 5,559.08 : x
  2. Step 2: Convert to fraction form
    10,096.65/13,933.70 = 5,559.08/x
  3. Step 3: Cross multiply
    10,096.65x = 13,933.70 × 5,559.08
  4. Step 4: Simplify right side
    10,096.65x = 77,458,539.12
  5. Step 5: Solve for x
    x = 77,458,539.12/10,096.65
  6. Step 6: Final answer
    x = 7,671.71

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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.