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Finding the Fourth Proportional to 6,572.32, 9,069.81 and 4,214.46

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Solution

The fourth proportional to 6,572.32, 9,069.81 and 4,214.46 is: 5,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.32 : 9,069.81 = 4,214.46 : x
  2. Step 2: Convert to fraction form
    6,572.32/9,069.81 = 4,214.46/x
  3. Step 3: Cross multiply
    6,572.32x = 9,069.81 × 4,214.46
  4. Step 4: Simplify right side
    6,572.32x = 38,224,351.45
  5. Step 5: Solve for x
    x = 38,224,351.45/6,572.32
  6. Step 6: Final answer
    x = 5,815.96

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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.