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Finding the Fourth Proportional to 11,458.80, 17,204.40 and 7,084.80

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Solution

The fourth proportional to 11,458.80, 17,204.40 and 7,084.80 is: 10,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.80 : 17,204.40 = 7,084.80 : x
  2. Step 2: Convert to fraction form
    11,458.80/17,204.40 = 7,084.80/x
  3. Step 3: Cross multiply
    11,458.80x = 17,204.40 × 7,084.80
  4. Step 4: Simplify right side
    11,458.80x = 121,889,733.12
  5. Step 5: Solve for x
    x = 121,889,733.12/11,458.80
  6. Step 6: Final answer
    x = 10,637.22

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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.