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Finding the Fourth Proportional to 7,058.49, 10,526.05 and 6,185.06

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Solution

The fourth proportional to 7,058.49, 10,526.05 and 6,185.06 is: 9,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.49 : 10,526.05 = 6,185.06 : x
  2. Step 2: Convert to fraction form
    7,058.49/10,526.05 = 6,185.06/x
  3. Step 3: Cross multiply
    7,058.49x = 10,526.05 × 6,185.06
  4. Step 4: Simplify right side
    7,058.49x = 65,104,245.39
  5. Step 5: Solve for x
    x = 65,104,245.39/7,058.49
  6. Step 6: Final answer
    x = 9,223.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.