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Finding the Fourth Proportional to 8,034.86, 11,084.42 and 5,203.18

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Solution

The fourth proportional to 8,034.86, 11,084.42 and 5,203.18 is: 7,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.86 : 11,084.42 = 5,203.18 : x
  2. Step 2: Convert to fraction form
    8,034.86/11,084.42 = 5,203.18/x
  3. Step 3: Cross multiply
    8,034.86x = 11,084.42 × 5,203.18
  4. Step 4: Simplify right side
    8,034.86x = 57,674,220.43
  5. Step 5: Solve for x
    x = 57,674,220.43/8,034.86
  6. Step 6: Final answer
    x = 7,178.00

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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.