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Finding the Fourth Proportional to 9,985.03, 13,783.77 and 6,449.96

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Solution

The fourth proportional to 9,985.03, 13,783.77 and 6,449.96 is: 8,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.03 : 13,783.77 = 6,449.96 : x
  2. Step 2: Convert to fraction form
    9,985.03/13,783.77 = 6,449.96/x
  3. Step 3: Cross multiply
    9,985.03x = 13,783.77 × 6,449.96
  4. Step 4: Simplify right side
    9,985.03x = 88,904,732.90
  5. Step 5: Solve for x
    x = 88,904,732.90/9,985.03
  6. Step 6: Final answer
    x = 8,903.81

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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.