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Finding the Fourth Proportional to 9,829.88, 14,720.56 and 7,325.08

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Solution

The fourth proportional to 9,829.88, 14,720.56 and 7,325.08 is: 10,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.88 : 14,720.56 = 7,325.08 : x
  2. Step 2: Convert to fraction form
    9,829.88/14,720.56 = 7,325.08/x
  3. Step 3: Cross multiply
    9,829.88x = 14,720.56 × 7,325.08
  4. Step 4: Simplify right side
    9,829.88x = 107,829,327.94
  5. Step 5: Solve for x
    x = 107,829,327.94/9,829.88
  6. Step 6: Final answer
    x = 10,969.54

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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.