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Finding the Fourth Proportional to 8,235.76, 11,365.38 and 4,509.76

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Solution

The fourth proportional to 8,235.76, 11,365.38 and 4,509.76 is: 6,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.76 : 11,365.38 = 4,509.76 : x
  2. Step 2: Convert to fraction form
    8,235.76/11,365.38 = 4,509.76/x
  3. Step 3: Cross multiply
    8,235.76x = 11,365.38 × 4,509.76
  4. Step 4: Simplify right side
    8,235.76x = 51,255,136.11
  5. Step 5: Solve for x
    x = 51,255,136.11/8,235.76
  6. Step 6: Final answer
    x = 6,223.49

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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.