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Finding the Fourth Proportional to 12,437.15, 17,164.31 and 7,133.67

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Solution

The fourth proportional to 12,437.15, 17,164.31 and 7,133.67 is: 9,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.15 : 17,164.31 = 7,133.67 : x
  2. Step 2: Convert to fraction form
    12,437.15/17,164.31 = 7,133.67/x
  3. Step 3: Cross multiply
    12,437.15x = 17,164.31 × 7,133.67
  4. Step 4: Simplify right side
    12,437.15x = 122,444,487.65
  5. Step 5: Solve for x
    x = 122,444,487.65/12,437.15
  6. Step 6: Final answer
    x = 9,845.06

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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.