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Finding the Fourth Proportional to 12,359.36, 17,056 and 6,770.56

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Solution

The fourth proportional to 12,359.36, 17,056 and 6,770.56 is: 9,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.36 : 17,056 = 6,770.56 : x
  2. Step 2: Convert to fraction form
    12,359.36/17,056 = 6,770.56/x
  3. Step 3: Cross multiply
    12,359.36x = 17,056 × 6,770.56
  4. Step 4: Simplify right side
    12,359.36x = 115,478,671.36
  5. Step 5: Solve for x
    x = 115,478,671.36/12,359.36
  6. Step 6: Final answer
    x = 9,343.42

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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.