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Finding the Fourth Proportional to 9,777.82, 13,495.12 and 5,800.32

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Solution

The fourth proportional to 9,777.82, 13,495.12 and 5,800.32 is: 8,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.82 : 13,495.12 = 5,800.32 : x
  2. Step 2: Convert to fraction form
    9,777.82/13,495.12 = 5,800.32/x
  3. Step 3: Cross multiply
    9,777.82x = 13,495.12 × 5,800.32
  4. Step 4: Simplify right side
    9,777.82x = 78,276,014.44
  5. Step 5: Solve for x
    x = 78,276,014.44/9,777.82
  6. Step 6: Final answer
    x = 8,005.47

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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.