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Finding the Fourth Proportional to 17,827, 24,600.30 and 9,868.84

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Solution

The fourth proportional to 17,827, 24,600.30 and 9,868.84 is: 13,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827 : 24,600.30 = 9,868.84 : x
  2. Step 2: Convert to fraction form
    17,827/24,600.30 = 9,868.84/x
  3. Step 3: Cross multiply
    17,827x = 24,600.30 × 9,868.84
  4. Step 4: Simplify right side
    17,827x = 242,776,424.65
  5. Step 5: Solve for x
    x = 242,776,424.65/17,827
  6. Step 6: Final answer
    x = 13,618.47

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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.