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Finding the Fourth Proportional to 7,007.40, 9,797.40 and 7,007.40

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Solution

The fourth proportional to 7,007.40, 9,797.40 and 7,007.40 is: 9,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.40 : 9,797.40 = 7,007.40 : x
  2. Step 2: Convert to fraction form
    7,007.40/9,797.40 = 7,007.40/x
  3. Step 3: Cross multiply
    7,007.40x = 9,797.40 × 7,007.40
  4. Step 4: Simplify right side
    7,007.40x = 68,654,300.76
  5. Step 5: Solve for x
    x = 68,654,300.76/7,007.40
  6. Step 6: Final answer
    x = 9,797.40

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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.