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Finding the Fourth Proportional to 9,729.01, 14,565.97 and 7,563.07

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Solution

The fourth proportional to 9,729.01, 14,565.97 and 7,563.07 is: 11,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.01 : 14,565.97 = 7,563.07 : x
  2. Step 2: Convert to fraction form
    9,729.01/14,565.97 = 7,563.07/x
  3. Step 3: Cross multiply
    9,729.01x = 14,565.97 × 7,563.07
  4. Step 4: Simplify right side
    9,729.01x = 110,163,450.73
  5. Step 5: Solve for x
    x = 110,163,450.73/9,729.01
  6. Step 6: Final answer
    x = 11,323.19

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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.