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Finding the Fourth Proportional to 7,109.64, 9,811.53 and 3,923.16

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Solution

The fourth proportional to 7,109.64, 9,811.53 and 3,923.16 is: 5,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.64 : 9,811.53 = 3,923.16 : x
  2. Step 2: Convert to fraction form
    7,109.64/9,811.53 = 3,923.16/x
  3. Step 3: Cross multiply
    7,109.64x = 9,811.53 × 3,923.16
  4. Step 4: Simplify right side
    7,109.64x = 38,492,202.03
  5. Step 5: Solve for x
    x = 38,492,202.03/7,109.64
  6. Step 6: Final answer
    x = 5,414.09

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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.