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Finding the Fourth Proportional to 9,798.29, 13,530.86 and 6,822.26

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Solution

The fourth proportional to 9,798.29, 13,530.86 and 6,822.26 is: 9,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.29 : 13,530.86 = 6,822.26 : x
  2. Step 2: Convert to fraction form
    9,798.29/13,530.86 = 6,822.26/x
  3. Step 3: Cross multiply
    9,798.29x = 13,530.86 × 6,822.26
  4. Step 4: Simplify right side
    9,798.29x = 92,311,044.94
  5. Step 5: Solve for x
    x = 92,311,044.94/9,798.29
  6. Step 6: Final answer
    x = 9,421.14

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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.