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Finding the Fourth Proportional to 6,574.40, 9,227.20 and 6,574.40

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Solution

The fourth proportional to 6,574.40, 9,227.20 and 6,574.40 is: 9,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.40 : 9,227.20 = 6,574.40 : x
  2. Step 2: Convert to fraction form
    6,574.40/9,227.20 = 6,574.40/x
  3. Step 3: Cross multiply
    6,574.40x = 9,227.20 × 6,574.40
  4. Step 4: Simplify right side
    6,574.40x = 60,663,303.68
  5. Step 5: Solve for x
    x = 60,663,303.68/6,574.40
  6. Step 6: Final answer
    x = 9,227.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.