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Finding the Fourth Proportional to 7,133.64, 10,716.90 and 4,214.04

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Solution

The fourth proportional to 7,133.64, 10,716.90 and 4,214.04 is: 6,330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.64 : 10,716.90 = 4,214.04 : x
  2. Step 2: Convert to fraction form
    7,133.64/10,716.90 = 4,214.04/x
  3. Step 3: Cross multiply
    7,133.64x = 10,716.90 × 4,214.04
  4. Step 4: Simplify right side
    7,133.64x = 45,161,445.28
  5. Step 5: Solve for x
    x = 45,161,445.28/7,133.64
  6. Step 6: Final answer
    x = 6,330.77

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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.