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Finding the Fourth Proportional to 9,282.10, 13,923.02 and 2,262.16

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Solution

The fourth proportional to 9,282.10, 13,923.02 and 2,262.16 is: 3,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.10 : 13,923.02 = 2,262.16 : x
  2. Step 2: Convert to fraction form
    9,282.10/13,923.02 = 2,262.16/x
  3. Step 3: Cross multiply
    9,282.10x = 13,923.02 × 2,262.16
  4. Step 4: Simplify right side
    9,282.10x = 31,496,151.60
  5. Step 5: Solve for x
    x = 31,496,151.60/9,282.10
  6. Step 6: Final answer
    x = 3,393.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.