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Finding the Fourth Proportional to 7,800.92, 11,708.17 and 4,294.16

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Solution

The fourth proportional to 7,800.92, 11,708.17 and 4,294.16 is: 6,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.92 : 11,708.17 = 4,294.16 : x
  2. Step 2: Convert to fraction form
    7,800.92/11,708.17 = 4,294.16/x
  3. Step 3: Cross multiply
    7,800.92x = 11,708.17 × 4,294.16
  4. Step 4: Simplify right side
    7,800.92x = 50,276,755.29
  5. Step 5: Solve for x
    x = 50,276,755.29/7,800.92
  6. Step 6: Final answer
    x = 6,444.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.