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Finding the Fourth Proportional to 9,793.16, 13,518.24 and 5,816.24

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Solution

The fourth proportional to 9,793.16, 13,518.24 and 5,816.24 is: 8,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.16 : 13,518.24 = 5,816.24 : x
  2. Step 2: Convert to fraction form
    9,793.16/13,518.24 = 5,816.24/x
  3. Step 3: Cross multiply
    9,793.16x = 13,518.24 × 5,816.24
  4. Step 4: Simplify right side
    9,793.16x = 78,625,328.22
  5. Step 5: Solve for x
    x = 78,625,328.22/9,793.16
  6. Step 6: Final answer
    x = 8,028.60

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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.