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Finding the Fourth Proportional to 6,784.96, 10,177.84 and 3,087.48

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Solution

The fourth proportional to 6,784.96, 10,177.84 and 3,087.48 is: 4,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.96 : 10,177.84 = 3,087.48 : x
  2. Step 2: Convert to fraction form
    6,784.96/10,177.84 = 3,087.48/x
  3. Step 3: Cross multiply
    6,784.96x = 10,177.84 × 3,087.48
  4. Step 4: Simplify right side
    6,784.96x = 31,423,877.44
  5. Step 5: Solve for x
    x = 31,423,877.44/6,784.96
  6. Step 6: Final answer
    x = 4,631.40

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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.