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Finding the Fourth Proportional to 12,614.14, 17,406.61 and 7,509.38

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Solution

The fourth proportional to 12,614.14, 17,406.61 and 7,509.38 is: 10,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.14 : 17,406.61 = 7,509.38 : x
  2. Step 2: Convert to fraction form
    12,614.14/17,406.61 = 7,509.38/x
  3. Step 3: Cross multiply
    12,614.14x = 17,406.61 × 7,509.38
  4. Step 4: Simplify right side
    12,614.14x = 130,712,811.45
  5. Step 5: Solve for x
    x = 130,712,811.45/12,614.14
  6. Step 6: Final answer
    x = 10,362.41

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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.