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Finding the Fourth Proportional to 23,684.48, 35,502.06 and 9,638.48

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Solution

The fourth proportional to 23,684.48, 35,502.06 and 9,638.48 is: 14,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.48 : 35,502.06 = 9,638.48 : x
  2. Step 2: Convert to fraction form
    23,684.48/35,502.06 = 9,638.48/x
  3. Step 3: Cross multiply
    23,684.48x = 35,502.06 × 9,638.48
  4. Step 4: Simplify right side
    23,684.48x = 342,185,895.27
  5. Step 5: Solve for x
    x = 342,185,895.27/23,684.48
  6. Step 6: Final answer
    x = 14,447.68

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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.