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Finding the Fourth Proportional to 9,983.74, 14,920.37 and 9,407.56

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Solution

The fourth proportional to 9,983.74, 14,920.37 and 9,407.56 is: 14,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.74 : 14,920.37 = 9,407.56 : x
  2. Step 2: Convert to fraction form
    9,983.74/14,920.37 = 9,407.56/x
  3. Step 3: Cross multiply
    9,983.74x = 14,920.37 × 9,407.56
  4. Step 4: Simplify right side
    9,983.74x = 140,364,276.00
  5. Step 5: Solve for x
    x = 140,364,276.00/9,983.74
  6. Step 6: Final answer
    x = 14,059.29

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1.5x scale

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.