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Finding the Fourth Proportional to 9,582.12, 13,224.02 and 5,333.51

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Solution

The fourth proportional to 9,582.12, 13,224.02 and 5,333.51 is: 7,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.12 : 13,224.02 = 5,333.51 : x
  2. Step 2: Convert to fraction form
    9,582.12/13,224.02 = 5,333.51/x
  3. Step 3: Cross multiply
    9,582.12x = 13,224.02 × 5,333.51
  4. Step 4: Simplify right side
    9,582.12x = 70,530,449.30
  5. Step 5: Solve for x
    x = 70,530,449.30/9,582.12
  6. Step 6: Final answer
    x = 7,360.63

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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.