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Finding the Fourth Proportional to 10,943.40, 16,415.10 and 8,351.40

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Solution

The fourth proportional to 10,943.40, 16,415.10 and 8,351.40 is: 12,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.40 : 16,415.10 = 8,351.40 : x
  2. Step 2: Convert to fraction form
    10,943.40/16,415.10 = 8,351.40/x
  3. Step 3: Cross multiply
    10,943.40x = 16,415.10 × 8,351.40
  4. Step 4: Simplify right side
    10,943.40x = 137,089,066.14
  5. Step 5: Solve for x
    x = 137,089,066.14/10,943.40
  6. Step 6: Final answer
    x = 12,527.10

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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.