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Finding the Fourth Proportional to 4,737.92, 7,107.06 and 1,275.26

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Solution

The fourth proportional to 4,737.92, 7,107.06 and 1,275.26 is: 1,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.92 : 7,107.06 = 1,275.26 : x
  2. Step 2: Convert to fraction form
    4,737.92/7,107.06 = 1,275.26/x
  3. Step 3: Cross multiply
    4,737.92x = 7,107.06 × 1,275.26
  4. Step 4: Simplify right side
    4,737.92x = 9,063,349.34
  5. Step 5: Solve for x
    x = 9,063,349.34/4,737.92
  6. Step 6: Final answer
    x = 1,912.94

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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.