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Finding the Fourth Proportional to 7,219.63, 9,957.76 and 4,564.48

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Solution

The fourth proportional to 7,219.63, 9,957.76 and 4,564.48 is: 6,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.63 : 9,957.76 = 4,564.48 : x
  2. Step 2: Convert to fraction form
    7,219.63/9,957.76 = 4,564.48/x
  3. Step 3: Cross multiply
    7,219.63x = 9,957.76 × 4,564.48
  4. Step 4: Simplify right side
    7,219.63x = 45,451,963.56
  5. Step 5: Solve for x
    x = 45,451,963.56/7,219.63
  6. Step 6: Final answer
    x = 6,295.61

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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.