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Finding the Fourth Proportional to 9,300.96, 13,957.92 and 6,382.08

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Solution

The fourth proportional to 9,300.96, 13,957.92 and 6,382.08 is: 9,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.96 : 13,957.92 = 6,382.08 : x
  2. Step 2: Convert to fraction form
    9,300.96/13,957.92 = 6,382.08/x
  3. Step 3: Cross multiply
    9,300.96x = 13,957.92 × 6,382.08
  4. Step 4: Simplify right side
    9,300.96x = 89,080,562.07
  5. Step 5: Solve for x
    x = 89,080,562.07/9,300.96
  6. Step 6: Final answer
    x = 9,577.57

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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.