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Finding the Fourth Proportional to 15,998.40, 24,004.80 and 7,228.80

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Solution

The fourth proportional to 15,998.40, 24,004.80 and 7,228.80 is: 10,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.40 : 24,004.80 = 7,228.80 : x
  2. Step 2: Convert to fraction form
    15,998.40/24,004.80 = 7,228.80/x
  3. Step 3: Cross multiply
    15,998.40x = 24,004.80 × 7,228.80
  4. Step 4: Simplify right side
    15,998.40x = 173,525,898.24
  5. Step 5: Solve for x
    x = 173,525,898.24/15,998.40
  6. Step 6: Final answer
    x = 10,846.45

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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.