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Finding the Fourth Proportional to 9,829.03, 13,564.32 and 5,352.97

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Solution

The fourth proportional to 9,829.03, 13,564.32 and 5,352.97 is: 7,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.03 : 13,564.32 = 5,352.97 : x
  2. Step 2: Convert to fraction form
    9,829.03/13,564.32 = 5,352.97/x
  3. Step 3: Cross multiply
    9,829.03x = 13,564.32 × 5,352.97
  4. Step 4: Simplify right side
    9,829.03x = 72,609,398.03
  5. Step 5: Solve for x
    x = 72,609,398.03/9,829.03
  6. Step 6: Final answer
    x = 7,387.24

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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.