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Finding the Fourth Proportional to 7,345, 11,017.50 and 6,975.88

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Solution

The fourth proportional to 7,345, 11,017.50 and 6,975.88 is: 10,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345 : 11,017.50 = 6,975.88 : x
  2. Step 2: Convert to fraction form
    7,345/11,017.50 = 6,975.88/x
  3. Step 3: Cross multiply
    7,345x = 11,017.50 × 6,975.88
  4. Step 4: Simplify right side
    7,345x = 76,856,757.90
  5. Step 5: Solve for x
    x = 76,856,757.90/7,345
  6. Step 6: Final answer
    x = 10,463.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.