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Finding the Fourth Proportional to 9,808.17, 13,536.41 and 5,829.25

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Solution

The fourth proportional to 9,808.17, 13,536.41 and 5,829.25 is: 8,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.17 : 13,536.41 = 5,829.25 : x
  2. Step 2: Convert to fraction form
    9,808.17/13,536.41 = 5,829.25/x
  3. Step 3: Cross multiply
    9,808.17x = 13,536.41 × 5,829.25
  4. Step 4: Simplify right side
    9,808.17x = 78,907,117.99
  5. Step 5: Solve for x
    x = 78,907,117.99/9,808.17
  6. Step 6: Final answer
    x = 8,045.04

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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.