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Finding the Fourth Proportional to 6,461.94, 9,673.74 and 3,988.80

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Solution

The fourth proportional to 6,461.94, 9,673.74 and 3,988.80 is: 5,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.94 : 9,673.74 = 3,988.80 : x
  2. Step 2: Convert to fraction form
    6,461.94/9,673.74 = 3,988.80/x
  3. Step 3: Cross multiply
    6,461.94x = 9,673.74 × 3,988.80
  4. Step 4: Simplify right side
    6,461.94x = 38,586,614.11
  5. Step 5: Solve for x
    x = 38,586,614.11/6,461.94
  6. Step 6: Final answer
    x = 5,971.37

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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.