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Finding the Fourth Proportional to 9,534.24, 14,304.48 and 4,914.24

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Solution

The fourth proportional to 9,534.24, 14,304.48 and 4,914.24 is: 7,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.24 : 14,304.48 = 4,914.24 : x
  2. Step 2: Convert to fraction form
    9,534.24/14,304.48 = 4,914.24/x
  3. Step 3: Cross multiply
    9,534.24x = 14,304.48 × 4,914.24
  4. Step 4: Simplify right side
    9,534.24x = 70,295,647.80
  5. Step 5: Solve for x
    x = 70,295,647.80/9,534.24
  6. Step 6: Final answer
    x = 7,372.97

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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.