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Finding the Fourth Proportional to 4,644.72, 6,400.08 and 4,323.60

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Solution

The fourth proportional to 4,644.72, 6,400.08 and 4,323.60 is: 5,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.72 : 6,400.08 = 4,323.60 : x
  2. Step 2: Convert to fraction form
    4,644.72/6,400.08 = 4,323.60/x
  3. Step 3: Cross multiply
    4,644.72x = 6,400.08 × 4,323.60
  4. Step 4: Simplify right side
    4,644.72x = 27,671,385.89
  5. Step 5: Solve for x
    x = 27,671,385.89/4,644.72
  6. Step 6: Final answer
    x = 5,957.60

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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.