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Finding the Fourth Proportional to 30,474.54, 45,711.27 and 9,697.50

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Solution

The fourth proportional to 30,474.54, 45,711.27 and 9,697.50 is: 14,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.54 : 45,711.27 = 9,697.50 : x
  2. Step 2: Convert to fraction form
    30,474.54/45,711.27 = 9,697.50/x
  3. Step 3: Cross multiply
    30,474.54x = 45,711.27 × 9,697.50
  4. Step 4: Simplify right side
    30,474.54x = 443,285,040.83
  5. Step 5: Solve for x
    x = 443,285,040.83/30,474.54
  6. Step 6: Final answer
    x = 14,546.08

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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.