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Finding the Fourth Proportional to 12,494.69, 17,242.67 and 6,905.69

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Solution

The fourth proportional to 12,494.69, 17,242.67 and 6,905.69 is: 9,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.69 : 17,242.67 = 6,905.69 : x
  2. Step 2: Convert to fraction form
    12,494.69/17,242.67 = 6,905.69/x
  3. Step 3: Cross multiply
    12,494.69x = 17,242.67 × 6,905.69
  4. Step 4: Simplify right side
    12,494.69x = 119,072,529.50
  5. Step 5: Solve for x
    x = 119,072,529.50/12,494.69
  6. Step 6: Final answer
    x = 9,529.85

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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.