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Finding the Fourth Proportional to 14,967.90, 22,469.13 and 9,783.90

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Solution

The fourth proportional to 14,967.90, 22,469.13 and 9,783.90 is: 14,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.90 : 22,469.13 = 9,783.90 : x
  2. Step 2: Convert to fraction form
    14,967.90/22,469.13 = 9,783.90/x
  3. Step 3: Cross multiply
    14,967.90x = 22,469.13 × 9,783.90
  4. Step 4: Simplify right side
    14,967.90x = 219,835,721.01
  5. Step 5: Solve for x
    x = 219,835,721.01/14,967.90
  6. Step 6: Final answer
    x = 14,687.15

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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.