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Finding the Fourth Proportional to 9,674.34, 14,528.76 and 7,922.70

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Solution

The fourth proportional to 9,674.34, 14,528.76 and 7,922.70 is: 11,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.34 : 14,528.76 = 7,922.70 : x
  2. Step 2: Convert to fraction form
    9,674.34/14,528.76 = 7,922.70/x
  3. Step 3: Cross multiply
    9,674.34x = 14,528.76 × 7,922.70
  4. Step 4: Simplify right side
    9,674.34x = 115,107,006.85
  5. Step 5: Solve for x
    x = 115,107,006.85/9,674.34
  6. Step 6: Final answer
    x = 11,898.18

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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.