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Finding the Fourth Proportional to 7,750.92, 10,684.98 and 5,884.68

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Solution

The fourth proportional to 7,750.92, 10,684.98 and 5,884.68 is: 8,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.92 : 10,684.98 = 5,884.68 : x
  2. Step 2: Convert to fraction form
    7,750.92/10,684.98 = 5,884.68/x
  3. Step 3: Cross multiply
    7,750.92x = 10,684.98 × 5,884.68
  4. Step 4: Simplify right side
    7,750.92x = 62,877,688.11
  5. Step 5: Solve for x
    x = 62,877,688.11/7,750.92
  6. Step 6: Final answer
    x = 8,112.29

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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.