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Finding the Fourth Proportional to 6,468.96, 9,705.06 and 1,851.96

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Solution

The fourth proportional to 6,468.96, 9,705.06 and 1,851.96 is: 2,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.96 : 9,705.06 = 1,851.96 : x
  2. Step 2: Convert to fraction form
    6,468.96/9,705.06 = 1,851.96/x
  3. Step 3: Cross multiply
    6,468.96x = 9,705.06 × 1,851.96
  4. Step 4: Simplify right side
    6,468.96x = 17,973,382.92
  5. Step 5: Solve for x
    x = 17,973,382.92/6,468.96
  6. Step 6: Final answer
    x = 2,778.40

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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.