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Finding the Fourth Proportional to 8,051.84, 11,085 and 7,003.36

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Solution

The fourth proportional to 8,051.84, 11,085 and 7,003.36 is: 9,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.84 : 11,085 = 7,003.36 : x
  2. Step 2: Convert to fraction form
    8,051.84/11,085 = 7,003.36/x
  3. Step 3: Cross multiply
    8,051.84x = 11,085 × 7,003.36
  4. Step 4: Simplify right side
    8,051.84x = 77,632,245.60
  5. Step 5: Solve for x
    x = 77,632,245.60/8,051.84
  6. Step 6: Final answer
    x = 9,641.55

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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.