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Finding the Fourth Proportional to 9,571.64, 14,355.06 and 6,790.20

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Solution

The fourth proportional to 9,571.64, 14,355.06 and 6,790.20 is: 10,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.64 : 14,355.06 = 6,790.20 : x
  2. Step 2: Convert to fraction form
    9,571.64/14,355.06 = 6,790.20/x
  3. Step 3: Cross multiply
    9,571.64x = 14,355.06 × 6,790.20
  4. Step 4: Simplify right side
    9,571.64x = 97,473,728.41
  5. Step 5: Solve for x
    x = 97,473,728.41/9,571.64
  6. Step 6: Final answer
    x = 10,183.60

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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.