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Finding the Fourth Proportional to 9,957.62, 14,936.43 and 9,301.46

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Solution

The fourth proportional to 9,957.62, 14,936.43 and 9,301.46 is: 13,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.62 : 14,936.43 = 9,301.46 : x
  2. Step 2: Convert to fraction form
    9,957.62/14,936.43 = 9,301.46/x
  3. Step 3: Cross multiply
    9,957.62x = 14,936.43 × 9,301.46
  4. Step 4: Simplify right side
    9,957.62x = 138,930,606.19
  5. Step 5: Solve for x
    x = 138,930,606.19/9,957.62
  6. Step 6: Final answer
    x = 13,952.19

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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.