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Finding the Fourth Proportional to 11,415.84, 17,114.40 and 4,394.40

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Solution

The fourth proportional to 11,415.84, 17,114.40 and 4,394.40 is: 6,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.84 : 17,114.40 = 4,394.40 : x
  2. Step 2: Convert to fraction form
    11,415.84/17,114.40 = 4,394.40/x
  3. Step 3: Cross multiply
    11,415.84x = 17,114.40 × 4,394.40
  4. Step 4: Simplify right side
    11,415.84x = 75,207,519.36
  5. Step 5: Solve for x
    x = 75,207,519.36/11,415.84
  6. Step 6: Final answer
    x = 6,588.00

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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.