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Finding the Fourth Proportional to 7,673.16, 11,484.98 and 3,970.30

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Solution

The fourth proportional to 7,673.16, 11,484.98 and 3,970.30 is: 5,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.16 : 11,484.98 = 3,970.30 : x
  2. Step 2: Convert to fraction form
    7,673.16/11,484.98 = 3,970.30/x
  3. Step 3: Cross multiply
    7,673.16x = 11,484.98 × 3,970.30
  4. Step 4: Simplify right side
    7,673.16x = 45,598,816.09
  5. Step 5: Solve for x
    x = 45,598,816.09/7,673.16
  6. Step 6: Final answer
    x = 5,942.64

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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.