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Finding the Fourth Proportional to 6,571.32, 9,068.43 and 4,213.46

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Solution

The fourth proportional to 6,571.32, 9,068.43 and 4,213.46 is: 5,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.32 : 9,068.43 = 4,213.46 : x
  2. Step 2: Convert to fraction form
    6,571.32/9,068.43 = 4,213.46/x
  3. Step 3: Cross multiply
    6,571.32x = 9,068.43 × 4,213.46
  4. Step 4: Simplify right side
    6,571.32x = 38,209,421.73
  5. Step 5: Solve for x
    x = 38,209,421.73/6,571.32
  6. Step 6: Final answer
    x = 5,814.57

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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.