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Finding the Fourth Proportional to 19,574.01, 29,360.97 and 9,720.20

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Solution

The fourth proportional to 19,574.01, 29,360.97 and 9,720.20 is: 14,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.01 : 29,360.97 = 9,720.20 : x
  2. Step 2: Convert to fraction form
    19,574.01/29,360.97 = 9,720.20/x
  3. Step 3: Cross multiply
    19,574.01x = 29,360.97 × 9,720.20
  4. Step 4: Simplify right side
    19,574.01x = 285,394,574.00
  5. Step 5: Solve for x
    x = 285,394,574.00/19,574.01
  6. Step 6: Final answer
    x = 14,580.28

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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.