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Finding the Fourth Proportional to 14,835.16, 22,259.36 and 7,813.48

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Solution

The fourth proportional to 14,835.16, 22,259.36 and 7,813.48 is: 11,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835.16 : 22,259.36 = 7,813.48 : x
  2. Step 2: Convert to fraction form
    14,835.16/22,259.36 = 7,813.48/x
  3. Step 3: Cross multiply
    14,835.16x = 22,259.36 × 7,813.48
  4. Step 4: Simplify right side
    14,835.16x = 173,923,064.17
  5. Step 5: Solve for x
    x = 173,923,064.17/14,835.16
  6. Step 6: Final answer
    x = 11,723.71

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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.