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Finding the Fourth Proportional to 9,282.28, 13,923.52 and 7,430.98

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Solution

The fourth proportional to 9,282.28, 13,923.52 and 7,430.98 is: 11,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.28 : 13,923.52 = 7,430.98 : x
  2. Step 2: Convert to fraction form
    9,282.28/13,923.52 = 7,430.98/x
  3. Step 3: Cross multiply
    9,282.28x = 13,923.52 × 7,430.98
  4. Step 4: Simplify right side
    9,282.28x = 103,465,398.65
  5. Step 5: Solve for x
    x = 103,465,398.65/9,282.28
  6. Step 6: Final answer
    x = 11,146.55

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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.