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Finding the Fourth Proportional to 7,794.84, 11,688.12 and 3,407.16

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Solution

The fourth proportional to 7,794.84, 11,688.12 and 3,407.16 is: 5,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.84 : 11,688.12 = 3,407.16 : x
  2. Step 2: Convert to fraction form
    7,794.84/11,688.12 = 3,407.16/x
  3. Step 3: Cross multiply
    7,794.84x = 11,688.12 × 3,407.16
  4. Step 4: Simplify right side
    7,794.84x = 39,823,294.94
  5. Step 5: Solve for x
    x = 39,823,294.94/7,794.84
  6. Step 6: Final answer
    x = 5,108.93

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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.