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Finding the Fourth Proportional to 3,144.71, 4,717.13 and 953.43

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Solution

The fourth proportional to 3,144.71, 4,717.13 and 953.43 is: 1,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.71 : 4,717.13 = 953.43 : x
  2. Step 2: Convert to fraction form
    3,144.71/4,717.13 = 953.43/x
  3. Step 3: Cross multiply
    3,144.71x = 4,717.13 × 953.43
  4. Step 4: Simplify right side
    3,144.71x = 4,497,448.49
  5. Step 5: Solve for x
    x = 4,497,448.49/3,144.71
  6. Step 6: Final answer
    x = 1,430.17

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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.