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Finding the Fourth Proportional to 11,608.65, 16,023.83 and 7,575.93

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Solution

The fourth proportional to 11,608.65, 16,023.83 and 7,575.93 is: 10,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.65 : 16,023.83 = 7,575.93 : x
  2. Step 2: Convert to fraction form
    11,608.65/16,023.83 = 7,575.93/x
  3. Step 3: Cross multiply
    11,608.65x = 16,023.83 × 7,575.93
  4. Step 4: Simplify right side
    11,608.65x = 121,395,376.53
  5. Step 5: Solve for x
    x = 121,395,376.53/11,608.65
  6. Step 6: Final answer
    x = 10,457.32

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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.