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Finding the Fourth Proportional to 4,965.24, 6,852.04 and 3,102.24

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Solution

The fourth proportional to 4,965.24, 6,852.04 and 3,102.24 is: 4,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.24 : 6,852.04 = 3,102.24 : x
  2. Step 2: Convert to fraction form
    4,965.24/6,852.04 = 3,102.24/x
  3. Step 3: Cross multiply
    4,965.24x = 6,852.04 × 3,102.24
  4. Step 4: Simplify right side
    4,965.24x = 21,256,672.57
  5. Step 5: Solve for x
    x = 21,256,672.57/4,965.24
  6. Step 6: Final answer
    x = 4,281.10

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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.