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Finding the Fourth Proportional to 11,574.76, 17,368.62 and 6,382.12

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Solution

The fourth proportional to 11,574.76, 17,368.62 and 6,382.12 is: 9,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.76 : 17,368.62 = 6,382.12 : x
  2. Step 2: Convert to fraction form
    11,574.76/17,368.62 = 6,382.12/x
  3. Step 3: Cross multiply
    11,574.76x = 17,368.62 × 6,382.12
  4. Step 4: Simplify right side
    11,574.76x = 110,848,617.07
  5. Step 5: Solve for x
    x = 110,848,617.07/11,574.76
  6. Step 6: Final answer
    x = 9,576.75

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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.