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Finding the Fourth Proportional to 9,964.17, 14,956.82 and 7,334.70

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Solution

The fourth proportional to 9,964.17, 14,956.82 and 7,334.70 is: 11,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.17 : 14,956.82 = 7,334.70 : x
  2. Step 2: Convert to fraction form
    9,964.17/14,956.82 = 7,334.70/x
  3. Step 3: Cross multiply
    9,964.17x = 14,956.82 × 7,334.70
  4. Step 4: Simplify right side
    9,964.17x = 109,703,750.98
  5. Step 5: Solve for x
    x = 109,703,750.98/9,964.17
  6. Step 6: Final answer
    x = 11,009.82

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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.