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Finding the Fourth Proportional to 34,804.92, 52,207.38 and 8,509.64

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Solution

The fourth proportional to 34,804.92, 52,207.38 and 8,509.64 is: 12,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,804.92 : 52,207.38 = 8,509.64 : x
  2. Step 2: Convert to fraction form
    34,804.92/52,207.38 = 8,509.64/x
  3. Step 3: Cross multiply
    34,804.92x = 52,207.38 × 8,509.64
  4. Step 4: Simplify right side
    34,804.92x = 444,266,009.14
  5. Step 5: Solve for x
    x = 444,266,009.14/34,804.92
  6. Step 6: Final answer
    x = 12,764.46

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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.