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Finding the Fourth Proportional to 9,794.16, 13,515.84 and 5,318.10

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Solution

The fourth proportional to 9,794.16, 13,515.84 and 5,318.10 is: 7,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.16 : 13,515.84 = 5,318.10 : x
  2. Step 2: Convert to fraction form
    9,794.16/13,515.84 = 5,318.10/x
  3. Step 3: Cross multiply
    9,794.16x = 13,515.84 × 5,318.10
  4. Step 4: Simplify right side
    9,794.16x = 71,878,588.70
  5. Step 5: Solve for x
    x = 71,878,588.70/9,794.16
  6. Step 6: Final answer
    x = 7,338.92

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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.