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Finding the Fourth Proportional to 10,951.40, 16,427.10 and 6,343.40

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Solution

The fourth proportional to 10,951.40, 16,427.10 and 6,343.40 is: 9,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.40 : 16,427.10 = 6,343.40 : x
  2. Step 2: Convert to fraction form
    10,951.40/16,427.10 = 6,343.40/x
  3. Step 3: Cross multiply
    10,951.40x = 16,427.10 × 6,343.40
  4. Step 4: Simplify right side
    10,951.40x = 104,203,666.14
  5. Step 5: Solve for x
    x = 104,203,666.14/10,951.40
  6. Step 6: Final answer
    x = 9,515.10

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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.