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Finding the Fourth Proportional to 9,822.29, 13,520.53 and 8,561.16

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Solution

The fourth proportional to 9,822.29, 13,520.53 and 8,561.16 is: 11,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.29 : 13,520.53 = 8,561.16 : x
  2. Step 2: Convert to fraction form
    9,822.29/13,520.53 = 8,561.16/x
  3. Step 3: Cross multiply
    9,822.29x = 13,520.53 × 8,561.16
  4. Step 4: Simplify right side
    9,822.29x = 115,751,420.61
  5. Step 5: Solve for x
    x = 115,751,420.61/9,822.29
  6. Step 6: Final answer
    x = 11,784.57

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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.