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Finding the Fourth Proportional to 7,536.49, 10,409.13 and 6,029.28

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Solution

The fourth proportional to 7,536.49, 10,409.13 and 6,029.28 is: 8,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.49 : 10,409.13 = 6,029.28 : x
  2. Step 2: Convert to fraction form
    7,536.49/10,409.13 = 6,029.28/x
  3. Step 3: Cross multiply
    7,536.49x = 10,409.13 × 6,029.28
  4. Step 4: Simplify right side
    7,536.49x = 62,759,559.33
  5. Step 5: Solve for x
    x = 62,759,559.33/7,536.49
  6. Step 6: Final answer
    x = 8,327.43

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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.