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Finding the Fourth Proportional to 8,317.61, 11,458.80 and 5,795.16

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Solution

The fourth proportional to 8,317.61, 11,458.80 and 5,795.16 is: 7,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.61 : 11,458.80 = 5,795.16 : x
  2. Step 2: Convert to fraction form
    8,317.61/11,458.80 = 5,795.16/x
  3. Step 3: Cross multiply
    8,317.61x = 11,458.80 × 5,795.16
  4. Step 4: Simplify right side
    8,317.61x = 66,405,579.41
  5. Step 5: Solve for x
    x = 66,405,579.41/8,317.61
  6. Step 6: Final answer
    x = 7,983.73

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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.