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Finding the Fourth Proportional to 6,407.49, 9,612.63 and 1,965.17

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Solution

The fourth proportional to 6,407.49, 9,612.63 and 1,965.17 is: 2,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.49 : 9,612.63 = 1,965.17 : x
  2. Step 2: Convert to fraction form
    6,407.49/9,612.63 = 1,965.17/x
  3. Step 3: Cross multiply
    6,407.49x = 9,612.63 × 1,965.17
  4. Step 4: Simplify right side
    6,407.49x = 18,890,476.13
  5. Step 5: Solve for x
    x = 18,890,476.13/6,407.49
  6. Step 6: Final answer
    x = 2,948.18

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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.