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Finding the Fourth Proportional to 9,292.90, 12,825.11 and 5,313.26

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Solution

The fourth proportional to 9,292.90, 12,825.11 and 5,313.26 is: 7,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.90 : 12,825.11 = 5,313.26 : x
  2. Step 2: Convert to fraction form
    9,292.90/12,825.11 = 5,313.26/x
  3. Step 3: Cross multiply
    9,292.90x = 12,825.11 × 5,313.26
  4. Step 4: Simplify right side
    9,292.90x = 68,143,143.96
  5. Step 5: Solve for x
    x = 68,143,143.96/9,292.90
  6. Step 6: Final answer
    x = 7,332.82

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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.