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Finding the Fourth Proportional to 10,713.84, 14,783 and 5,933.55

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Solution

The fourth proportional to 10,713.84, 14,783 and 5,933.55 is: 8,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.84 : 14,783 = 5,933.55 : x
  2. Step 2: Convert to fraction form
    10,713.84/14,783 = 5,933.55/x
  3. Step 3: Cross multiply
    10,713.84x = 14,783 × 5,933.55
  4. Step 4: Simplify right side
    10,713.84x = 87,715,669.65
  5. Step 5: Solve for x
    x = 87,715,669.65/10,713.84
  6. Step 6: Final answer
    x = 8,187.14

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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.