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Finding the Fourth Proportional to 6,125.49, 9,188.07 and 1,965.47

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Solution

The fourth proportional to 6,125.49, 9,188.07 and 1,965.47 is: 2,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.49 : 9,188.07 = 1,965.47 : x
  2. Step 2: Convert to fraction form
    6,125.49/9,188.07 = 1,965.47/x
  3. Step 3: Cross multiply
    6,125.49x = 9,188.07 × 1,965.47
  4. Step 4: Simplify right side
    6,125.49x = 18,058,822.63
  5. Step 5: Solve for x
    x = 18,058,822.63/6,125.49
  6. Step 6: Final answer
    x = 2,948.14

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1.5x scale

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.