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Finding the Fourth Proportional to 9,292.14, 12,822.73 and 5,313.51

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Solution

The fourth proportional to 9,292.14, 12,822.73 and 5,313.51 is: 7,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.14 : 12,822.73 = 5,313.51 : x
  2. Step 2: Convert to fraction form
    9,292.14/12,822.73 = 5,313.51/x
  3. Step 3: Cross multiply
    9,292.14x = 12,822.73 × 5,313.51
  4. Step 4: Simplify right side
    9,292.14x = 68,133,704.08
  5. Step 5: Solve for x
    x = 68,133,704.08/9,292.14
  6. Step 6: Final answer
    x = 7,332.40

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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.