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Finding the Fourth Proportional to 9,792.84, 13,508.16 and 5,813.10

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Solution

The fourth proportional to 9,792.84, 13,508.16 and 5,813.10 is: 8,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.84 : 13,508.16 = 5,813.10 : x
  2. Step 2: Convert to fraction form
    9,792.84/13,508.16 = 5,813.10/x
  3. Step 3: Cross multiply
    9,792.84x = 13,508.16 × 5,813.10
  4. Step 4: Simplify right side
    9,792.84x = 78,524,284.90
  5. Step 5: Solve for x
    x = 78,524,284.90/9,792.84
  6. Step 6: Final answer
    x = 8,018.54

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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.