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Finding the Fourth Proportional to 9,584.95, 14,351.49 and 4,958.23

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Solution

The fourth proportional to 9,584.95, 14,351.49 and 4,958.23 is: 7,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.95 : 14,351.49 = 4,958.23 : x
  2. Step 2: Convert to fraction form
    9,584.95/14,351.49 = 4,958.23/x
  3. Step 3: Cross multiply
    9,584.95x = 14,351.49 × 4,958.23
  4. Step 4: Simplify right side
    9,584.95x = 71,157,988.26
  5. Step 5: Solve for x
    x = 71,157,988.26/9,584.95
  6. Step 6: Final answer
    x = 7,423.93

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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.