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Finding the Fourth Proportional to 6,572, 9,069.36 and 3,628

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Solution

The fourth proportional to 6,572, 9,069.36 and 3,628 is: 5,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572 : 9,069.36 = 3,628 : x
  2. Step 2: Convert to fraction form
    6,572/9,069.36 = 3,628/x
  3. Step 3: Cross multiply
    6,572x = 9,069.36 × 3,628
  4. Step 4: Simplify right side
    6,572x = 32,903,638.08
  5. Step 5: Solve for x
    x = 32,903,638.08/6,572
  6. Step 6: Final answer
    x = 5,006.64

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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.