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Finding the Fourth Proportional to 17,966.84, 24,793.16 and 10,007.64

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Solution

The fourth proportional to 17,966.84, 24,793.16 and 10,007.64 is: 13,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.84 : 24,793.16 = 10,007.64 : x
  2. Step 2: Convert to fraction form
    17,966.84/24,793.16 = 10,007.64/x
  3. Step 3: Cross multiply
    17,966.84x = 24,793.16 × 10,007.64
  4. Step 4: Simplify right side
    17,966.84x = 248,120,969.70
  5. Step 5: Solve for x
    x = 248,120,969.70/17,966.84
  6. Step 6: Final answer
    x = 13,809.94

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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.