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Finding the Fourth Proportional to 9,673.84, 14,509.32 and 3,099.34

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Solution

The fourth proportional to 9,673.84, 14,509.32 and 3,099.34 is: 4,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.84 : 14,509.32 = 3,099.34 : x
  2. Step 2: Convert to fraction form
    9,673.84/14,509.32 = 3,099.34/x
  3. Step 3: Cross multiply
    9,673.84x = 14,509.32 × 3,099.34
  4. Step 4: Simplify right side
    9,673.84x = 44,969,315.85
  5. Step 5: Solve for x
    x = 44,969,315.85/9,673.84
  6. Step 6: Final answer
    x = 4,648.55

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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.