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Finding the Fourth Proportional to 7,227.02, 9,975.15 and 4,715.42

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Solution

The fourth proportional to 7,227.02, 9,975.15 and 4,715.42 is: 6,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.02 : 9,975.15 = 4,715.42 : x
  2. Step 2: Convert to fraction form
    7,227.02/9,975.15 = 4,715.42/x
  3. Step 3: Cross multiply
    7,227.02x = 9,975.15 × 4,715.42
  4. Step 4: Simplify right side
    7,227.02x = 47,036,971.94
  5. Step 5: Solve for x
    x = 47,036,971.94/7,227.02
  6. Step 6: Final answer
    x = 6,508.49

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1.5x scale

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.