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Finding the Fourth Proportional to 7,887.54, 10,884.42 and 4,743.12

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Solution

The fourth proportional to 7,887.54, 10,884.42 and 4,743.12 is: 6,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.54 : 10,884.42 = 4,743.12 : x
  2. Step 2: Convert to fraction form
    7,887.54/10,884.42 = 4,743.12/x
  3. Step 3: Cross multiply
    7,887.54x = 10,884.42 × 4,743.12
  4. Step 4: Simplify right side
    7,887.54x = 51,626,110.19
  5. Step 5: Solve for x
    x = 51,626,110.19/7,887.54
  6. Step 6: Final answer
    x = 6,545.27

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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.