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Finding the Fourth Proportional to 14,801.96, 20,440.35 and 9,506.00

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Solution

The fourth proportional to 14,801.96, 20,440.35 and 9,506.00 is: 13,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.96 : 20,440.35 = 9,506.00 : x
  2. Step 2: Convert to fraction form
    14,801.96/20,440.35 = 9,506.00/x
  3. Step 3: Cross multiply
    14,801.96x = 20,440.35 × 9,506.00
  4. Step 4: Simplify right side
    14,801.96x = 194,305,976.61
  5. Step 5: Solve for x
    x = 194,305,976.61/14,801.96
  6. Step 6: Final answer
    x = 13,127.04

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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.