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Finding the Fourth Proportional to 9,829.73, 13,549.22 and 6,642.03

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Solution

The fourth proportional to 9,829.73, 13,549.22 and 6,642.03 is: 9,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.73 : 13,549.22 = 6,642.03 : x
  2. Step 2: Convert to fraction form
    9,829.73/13,549.22 = 6,642.03/x
  3. Step 3: Cross multiply
    9,829.73x = 13,549.22 × 6,642.03
  4. Step 4: Simplify right side
    9,829.73x = 89,994,325.72
  5. Step 5: Solve for x
    x = 89,994,325.72/9,829.73
  6. Step 6: Final answer
    x = 9,155.32

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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.