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Finding the Fourth Proportional to 34,496.40, 51,745.80 and 9,538.32

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Solution

The fourth proportional to 34,496.40, 51,745.80 and 9,538.32 is: 14,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,496.40 : 51,745.80 = 9,538.32 : x
  2. Step 2: Convert to fraction form
    34,496.40/51,745.80 = 9,538.32/x
  3. Step 3: Cross multiply
    34,496.40x = 51,745.80 × 9,538.32
  4. Step 4: Simplify right side
    34,496.40x = 493,567,999.06
  5. Step 5: Solve for x
    x = 493,567,999.06/34,496.40
  6. Step 6: Final answer
    x = 14,307.81

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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.