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Finding the Fourth Proportional to 7,852.36, 10,836.72 and 5,195.16

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Solution

The fourth proportional to 7,852.36, 10,836.72 and 5,195.16 is: 7,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.36 : 10,836.72 = 5,195.16 : x
  2. Step 2: Convert to fraction form
    7,852.36/10,836.72 = 5,195.16/x
  3. Step 3: Cross multiply
    7,852.36x = 10,836.72 × 5,195.16
  4. Step 4: Simplify right side
    7,852.36x = 56,298,494.28
  5. Step 5: Solve for x
    x = 56,298,494.28/7,852.36
  6. Step 6: Final answer
    x = 7,169.63

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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.