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Finding the Fourth Proportional to 9,983.72, 14,950.98 and 6,276.76

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Solution

The fourth proportional to 9,983.72, 14,950.98 and 6,276.76 is: 9,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.72 : 14,950.98 = 6,276.76 : x
  2. Step 2: Convert to fraction form
    9,983.72/14,950.98 = 6,276.76/x
  3. Step 3: Cross multiply
    9,983.72x = 14,950.98 × 6,276.76
  4. Step 4: Simplify right side
    9,983.72x = 93,843,713.22
  5. Step 5: Solve for x
    x = 93,843,713.22/9,983.72
  6. Step 6: Final answer
    x = 9,399.67

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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.