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Finding the Fourth Proportional to 11,842.12, 16,343.08 and 6,807.16

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Solution

The fourth proportional to 11,842.12, 16,343.08 and 6,807.16 is: 9,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.12 : 16,343.08 = 6,807.16 : x
  2. Step 2: Convert to fraction form
    11,842.12/16,343.08 = 6,807.16/x
  3. Step 3: Cross multiply
    11,842.12x = 16,343.08 × 6,807.16
  4. Step 4: Simplify right side
    11,842.12x = 111,249,960.45
  5. Step 5: Solve for x
    x = 111,249,960.45/11,842.12
  6. Step 6: Final answer
    x = 9,394.43

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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.