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Finding the Fourth Proportional to 6,143.04, 8,477.73 and 4,648.32

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Solution

The fourth proportional to 6,143.04, 8,477.73 and 4,648.32 is: 6,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.04 : 8,477.73 = 4,648.32 : x
  2. Step 2: Convert to fraction form
    6,143.04/8,477.73 = 4,648.32/x
  3. Step 3: Cross multiply
    6,143.04x = 8,477.73 × 4,648.32
  4. Step 4: Simplify right side
    6,143.04x = 39,407,201.91
  5. Step 5: Solve for x
    x = 39,407,201.91/6,143.04
  6. Step 6: Final answer
    x = 6,414.93

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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.