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Finding the Fourth Proportional to 8,570.33, 11,828.97 and 5,212.43

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Solution

The fourth proportional to 8,570.33, 11,828.97 and 5,212.43 is: 7,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.33 : 11,828.97 = 5,212.43 : x
  2. Step 2: Convert to fraction form
    8,570.33/11,828.97 = 5,212.43/x
  3. Step 3: Cross multiply
    8,570.33x = 11,828.97 × 5,212.43
  4. Step 4: Simplify right side
    8,570.33x = 61,657,678.10
  5. Step 5: Solve for x
    x = 61,657,678.10/8,570.33
  6. Step 6: Final answer
    x = 7,194.32

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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.