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Finding the Fourth Proportional to 9,891.86, 14,835.48 and 4,630.50

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Solution

The fourth proportional to 9,891.86, 14,835.48 and 4,630.50 is: 6,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.86 : 14,835.48 = 4,630.50 : x
  2. Step 2: Convert to fraction form
    9,891.86/14,835.48 = 4,630.50/x
  3. Step 3: Cross multiply
    9,891.86x = 14,835.48 × 4,630.50
  4. Step 4: Simplify right side
    9,891.86x = 68,695,750.56
  5. Step 5: Solve for x
    x = 68,695,750.56/9,891.86
  6. Step 6: Final answer
    x = 6,944.67

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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.