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Finding the Fourth Proportional to 9,956.63, 13,737.06 and 5,649.01

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Solution

The fourth proportional to 9,956.63, 13,737.06 and 5,649.01 is: 7,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.63 : 13,737.06 = 5,649.01 : x
  2. Step 2: Convert to fraction form
    9,956.63/13,737.06 = 5,649.01/x
  3. Step 3: Cross multiply
    9,956.63x = 13,737.06 × 5,649.01
  4. Step 4: Simplify right side
    9,956.63x = 77,600,806.48
  5. Step 5: Solve for x
    x = 77,600,806.48/9,956.63
  6. Step 6: Final answer
    x = 7,793.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.