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Finding the Fourth Proportional to 9,623.70, 13,772.84 and 9,623.70

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Solution

The fourth proportional to 9,623.70, 13,772.84 and 9,623.70 is: 13,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.70 : 13,772.84 = 9,623.70 : x
  2. Step 2: Convert to fraction form
    9,623.70/13,772.84 = 9,623.70/x
  3. Step 3: Cross multiply
    9,623.70x = 13,772.84 × 9,623.70
  4. Step 4: Simplify right side
    9,623.70x = 132,545,632.19
  5. Step 5: Solve for x
    x = 132,545,632.19/9,623.70
  6. Step 6: Final answer
    x = 13,772.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.