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Finding the Fourth Proportional to 4,852.63, 6,686.04 and 4,053.16

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Solution

The fourth proportional to 4,852.63, 6,686.04 and 4,053.16 is: 5,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.63 : 6,686.04 = 4,053.16 : x
  2. Step 2: Convert to fraction form
    4,852.63/6,686.04 = 4,053.16/x
  3. Step 3: Cross multiply
    4,852.63x = 6,686.04 × 4,053.16
  4. Step 4: Simplify right side
    4,852.63x = 27,099,589.89
  5. Step 5: Solve for x
    x = 27,099,589.89/4,852.63
  6. Step 6: Final answer
    x = 5,584.52

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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.