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Finding the Fourth Proportional to 9,808.94, 13,537.86 and 6,942.08

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Solution

The fourth proportional to 9,808.94, 13,537.86 and 6,942.08 is: 9,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.94 : 13,537.86 = 6,942.08 : x
  2. Step 2: Convert to fraction form
    9,808.94/13,537.86 = 6,942.08/x
  3. Step 3: Cross multiply
    9,808.94x = 13,537.86 × 6,942.08
  4. Step 4: Simplify right side
    9,808.94x = 93,980,907.15
  5. Step 5: Solve for x
    x = 93,980,907.15/9,808.94
  6. Step 6: Final answer
    x = 9,581.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.