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Finding the Fourth Proportional to 9,812.08, 13,542.64 and 5,623.12

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Solution

The fourth proportional to 9,812.08, 13,542.64 and 5,623.12 is: 7,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.08 : 13,542.64 = 5,623.12 : x
  2. Step 2: Convert to fraction form
    9,812.08/13,542.64 = 5,623.12/x
  3. Step 3: Cross multiply
    9,812.08x = 13,542.64 × 5,623.12
  4. Step 4: Simplify right side
    9,812.08x = 76,151,889.84
  5. Step 5: Solve for x
    x = 76,151,889.84/9,812.08
  6. Step 6: Final answer
    x = 7,761.03

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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.