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Finding the Fourth Proportional to 6,453.96, 9,681.18 and 2,070.84

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Solution

The fourth proportional to 6,453.96, 9,681.18 and 2,070.84 is: 3,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.96 : 9,681.18 = 2,070.84 : x
  2. Step 2: Convert to fraction form
    6,453.96/9,681.18 = 2,070.84/x
  3. Step 3: Cross multiply
    6,453.96x = 9,681.18 × 2,070.84
  4. Step 4: Simplify right side
    6,453.96x = 20,048,174.79
  5. Step 5: Solve for x
    x = 20,048,174.79/6,453.96
  6. Step 6: Final answer
    x = 3,106.34

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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.