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Finding the Fourth Proportional to 11,614.40, 17,414.40 and 6,681.60

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Solution

The fourth proportional to 11,614.40, 17,414.40 and 6,681.60 is: 10,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.40 : 17,414.40 = 6,681.60 : x
  2. Step 2: Convert to fraction form
    11,614.40/17,414.40 = 6,681.60/x
  3. Step 3: Cross multiply
    11,614.40x = 17,414.40 × 6,681.60
  4. Step 4: Simplify right side
    11,614.40x = 116,356,055.04
  5. Step 5: Solve for x
    x = 116,356,055.04/11,614.40
  6. Step 6: Final answer
    x = 10,018.26

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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.