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Finding the Fourth Proportional to 11,384.40, 17,078.40 and 4,364.13

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Solution

The fourth proportional to 11,384.40, 17,078.40 and 4,364.13 is: 6,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.40 : 17,078.40 = 4,364.13 : x
  2. Step 2: Convert to fraction form
    11,384.40/17,078.40 = 4,364.13/x
  3. Step 3: Cross multiply
    11,384.40x = 17,078.40 × 4,364.13
  4. Step 4: Simplify right side
    11,384.40x = 74,532,357.79
  5. Step 5: Solve for x
    x = 74,532,357.79/11,384.40
  6. Step 6: Final answer
    x = 6,546.89

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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.