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Finding the Fourth Proportional to 6,574, 9,072.12 and 3,630

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Solution

The fourth proportional to 6,574, 9,072.12 and 3,630 is: 5,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574 : 9,072.12 = 3,630 : x
  2. Step 2: Convert to fraction form
    6,574/9,072.12 = 3,630/x
  3. Step 3: Cross multiply
    6,574x = 9,072.12 × 3,630
  4. Step 4: Simplify right side
    6,574x = 32,931,795.60
  5. Step 5: Solve for x
    x = 32,931,795.60/6,574
  6. Step 6: Final answer
    x = 5,009.40

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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.