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Finding the Fourth Proportional to 9,094.51, 12,545.11 and 5,736.12

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Solution

The fourth proportional to 9,094.51, 12,545.11 and 5,736.12 is: 7,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.51 : 12,545.11 = 5,736.12 : x
  2. Step 2: Convert to fraction form
    9,094.51/12,545.11 = 5,736.12/x
  3. Step 3: Cross multiply
    9,094.51x = 12,545.11 × 5,736.12
  4. Step 4: Simplify right side
    9,094.51x = 71,960,216.50
  5. Step 5: Solve for x
    x = 71,960,216.50/9,094.51
  6. Step 6: Final answer
    x = 7,912.49

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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.