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Finding the Fourth Proportional to 9,806.24, 14,633.08 and 8,654.24

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Solution

The fourth proportional to 9,806.24, 14,633.08 and 8,654.24 is: 12,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.24 : 14,633.08 = 8,654.24 : x
  2. Step 2: Convert to fraction form
    9,806.24/14,633.08 = 8,654.24/x
  3. Step 3: Cross multiply
    9,806.24x = 14,633.08 × 8,654.24
  4. Step 4: Simplify right side
    9,806.24x = 126,638,186.26
  5. Step 5: Solve for x
    x = 126,638,186.26/9,806.24
  6. Step 6: Final answer
    x = 12,914.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.