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Finding the Fourth Proportional to 4,737.54, 7,106.31 and 4,048.86

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Solution

The fourth proportional to 4,737.54, 7,106.31 and 4,048.86 is: 6,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.54 : 7,106.31 = 4,048.86 : x
  2. Step 2: Convert to fraction form
    4,737.54/7,106.31 = 4,048.86/x
  3. Step 3: Cross multiply
    4,737.54x = 7,106.31 × 4,048.86
  4. Step 4: Simplify right side
    4,737.54x = 28,772,454.31
  5. Step 5: Solve for x
    x = 28,772,454.31/4,737.54
  6. Step 6: Final answer
    x = 6,073.29

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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.