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Finding the Fourth Proportional to 9,199.86, 13,804.03 and 7,116.74

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Solution

The fourth proportional to 9,199.86, 13,804.03 and 7,116.74 is: 10,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.86 : 13,804.03 = 7,116.74 : x
  2. Step 2: Convert to fraction form
    9,199.86/13,804.03 = 7,116.74/x
  3. Step 3: Cross multiply
    9,199.86x = 13,804.03 × 7,116.74
  4. Step 4: Simplify right side
    9,199.86x = 98,239,605.65
  5. Step 5: Solve for x
    x = 98,239,605.65/9,199.86
  6. Step 6: Final answer
    x = 10,678.38

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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.