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Finding the Fourth Proportional to 9,793.45, 14,688.69 and 3,219.76

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Solution

The fourth proportional to 9,793.45, 14,688.69 and 3,219.76 is: 4,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.45 : 14,688.69 = 3,219.76 : x
  2. Step 2: Convert to fraction form
    9,793.45/14,688.69 = 3,219.76/x
  3. Step 3: Cross multiply
    9,793.45x = 14,688.69 × 3,219.76
  4. Step 4: Simplify right side
    9,793.45x = 47,294,056.51
  5. Step 5: Solve for x
    x = 47,294,056.51/9,793.45
  6. Step 6: Final answer
    x = 4,829.15

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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.