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Finding the Fourth Proportional to 14,730.41, 20,335.48 and 9,975.48

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Solution

The fourth proportional to 14,730.41, 20,335.48 and 9,975.48 is: 13,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.41 : 20,335.48 = 9,975.48 : x
  2. Step 2: Convert to fraction form
    14,730.41/20,335.48 = 9,975.48/x
  3. Step 3: Cross multiply
    14,730.41x = 20,335.48 × 9,975.48
  4. Step 4: Simplify right side
    14,730.41x = 202,856,149.09
  5. Step 5: Solve for x
    x = 202,856,149.09/14,730.41
  6. Step 6: Final answer
    x = 13,771.25

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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.