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Finding the Fourth Proportional to 6,554.96, 9,784.92 and 6,067.16

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Solution

The fourth proportional to 6,554.96, 9,784.92 and 6,067.16 is: 9,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.96 : 9,784.92 = 6,067.16 : x
  2. Step 2: Convert to fraction form
    6,554.96/9,784.92 = 6,067.16/x
  3. Step 3: Cross multiply
    6,554.96x = 9,784.92 × 6,067.16
  4. Step 4: Simplify right side
    6,554.96x = 59,366,675.23
  5. Step 5: Solve for x
    x = 59,366,675.23/6,554.96
  6. Step 6: Final answer
    x = 9,056.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.