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Finding the Fourth Proportional to 7,570.71, 11,358 and 4,453.29

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Solution

The fourth proportional to 7,570.71, 11,358 and 4,453.29 is: 6,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.71 : 11,358 = 4,453.29 : x
  2. Step 2: Convert to fraction form
    7,570.71/11,358 = 4,453.29/x
  3. Step 3: Cross multiply
    7,570.71x = 11,358 × 4,453.29
  4. Step 4: Simplify right side
    7,570.71x = 50,580,467.82
  5. Step 5: Solve for x
    x = 50,580,467.82/7,570.71
  6. Step 6: Final answer
    x = 6,681.07

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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.