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Finding the Fourth Proportional to 9,899.58, 14,846.19 and 5,216.97

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Solution

The fourth proportional to 9,899.58, 14,846.19 and 5,216.97 is: 7,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.58 : 14,846.19 = 5,216.97 : x
  2. Step 2: Convert to fraction form
    9,899.58/14,846.19 = 5,216.97/x
  3. Step 3: Cross multiply
    9,899.58x = 14,846.19 × 5,216.97
  4. Step 4: Simplify right side
    9,899.58x = 77,452,053.61
  5. Step 5: Solve for x
    x = 77,452,053.61/9,899.58
  6. Step 6: Final answer
    x = 7,823.78

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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.