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Finding the Fourth Proportional to 11,598.22, 16,002.87 and 7,828.38

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Solution

The fourth proportional to 11,598.22, 16,002.87 and 7,828.38 is: 10,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.22 : 16,002.87 = 7,828.38 : x
  2. Step 2: Convert to fraction form
    11,598.22/16,002.87 = 7,828.38/x
  3. Step 3: Cross multiply
    11,598.22x = 16,002.87 × 7,828.38
  4. Step 4: Simplify right side
    11,598.22x = 125,276,518.09
  5. Step 5: Solve for x
    x = 125,276,518.09/11,598.22
  6. Step 6: Final answer
    x = 10,801.36

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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.