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Finding the Fourth Proportional to 9,807.70, 14,719.65 and 4,550.80

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Solution

The fourth proportional to 9,807.70, 14,719.65 and 4,550.80 is: 6,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.70 : 14,719.65 = 4,550.80 : x
  2. Step 2: Convert to fraction form
    9,807.70/14,719.65 = 4,550.80/x
  3. Step 3: Cross multiply
    9,807.70x = 14,719.65 × 4,550.80
  4. Step 4: Simplify right side
    9,807.70x = 66,986,183.22
  5. Step 5: Solve for x
    x = 66,986,183.22/9,807.70
  6. Step 6: Final answer
    x = 6,829.96

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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.