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Finding the Fourth Proportional to 16,483.16, 24,718.92 and 7,122.80

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Solution

The fourth proportional to 16,483.16, 24,718.92 and 7,122.80 is: 10,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.16 : 24,718.92 = 7,122.80 : x
  2. Step 2: Convert to fraction form
    16,483.16/24,718.92 = 7,122.80/x
  3. Step 3: Cross multiply
    16,483.16x = 24,718.92 × 7,122.80
  4. Step 4: Simplify right side
    16,483.16x = 176,067,923.38
  5. Step 5: Solve for x
    x = 176,067,923.38/16,483.16
  6. Step 6: Final answer
    x = 10,681.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.