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Finding the Fourth Proportional to 11,803.68, 16,289.10 and 6,498.48

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Solution

The fourth proportional to 11,803.68, 16,289.10 and 6,498.48 is: 8,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.68 : 16,289.10 = 6,498.48 : x
  2. Step 2: Convert to fraction form
    11,803.68/16,289.10 = 6,498.48/x
  3. Step 3: Cross multiply
    11,803.68x = 16,289.10 × 6,498.48
  4. Step 4: Simplify right side
    11,803.68x = 105,854,390.57
  5. Step 5: Solve for x
    x = 105,854,390.57/11,803.68
  6. Step 6: Final answer
    x = 8,967.91

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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.