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Finding the Fourth Proportional to 11,807.26, 17,704.08 and 7,068.16

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Solution

The fourth proportional to 11,807.26, 17,704.08 and 7,068.16 is: 10,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.26 : 17,704.08 = 7,068.16 : x
  2. Step 2: Convert to fraction form
    11,807.26/17,704.08 = 7,068.16/x
  3. Step 3: Cross multiply
    11,807.26x = 17,704.08 × 7,068.16
  4. Step 4: Simplify right side
    11,807.26x = 125,135,270.09
  5. Step 5: Solve for x
    x = 125,135,270.09/11,807.26
  6. Step 6: Final answer
    x = 10,598.16

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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.