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Finding the Fourth Proportional to 12,176.71, 16,803.84 and 6,871.84

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Solution

The fourth proportional to 12,176.71, 16,803.84 and 6,871.84 is: 9,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.71 : 16,803.84 = 6,871.84 : x
  2. Step 2: Convert to fraction form
    12,176.71/16,803.84 = 6,871.84/x
  3. Step 3: Cross multiply
    12,176.71x = 16,803.84 × 6,871.84
  4. Step 4: Simplify right side
    12,176.71x = 115,473,299.87
  5. Step 5: Solve for x
    x = 115,473,299.87/12,176.71
  6. Step 6: Final answer
    x = 9,483.13

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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.