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Finding the Fourth Proportional to 9,328.50, 13,993.02 and 2,403

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Solution

The fourth proportional to 9,328.50, 13,993.02 and 2,403 is: 3,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.50 : 13,993.02 = 2,403 : x
  2. Step 2: Convert to fraction form
    9,328.50/13,993.02 = 2,403/x
  3. Step 3: Cross multiply
    9,328.50x = 13,993.02 × 2,403
  4. Step 4: Simplify right side
    9,328.50x = 33,625,227.06
  5. Step 5: Solve for x
    x = 33,625,227.06/9,328.50
  6. Step 6: Final answer
    x = 3,604.57

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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.