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Finding the Fourth Proportional to 16,340.80, 24,514.40 and 6,980.80

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Solution

The fourth proportional to 16,340.80, 24,514.40 and 6,980.80 is: 10,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.80 : 24,514.40 = 6,980.80 : x
  2. Step 2: Convert to fraction form
    16,340.80/24,514.40 = 6,980.80/x
  3. Step 3: Cross multiply
    16,340.80x = 24,514.40 × 6,980.80
  4. Step 4: Simplify right side
    16,340.80x = 171,130,123.52
  5. Step 5: Solve for x
    x = 171,130,123.52/16,340.80
  6. Step 6: Final answer
    x = 10,472.57

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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.