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Finding the Fourth Proportional to 7,429, 10,252.02 and 4,285.66

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Solution

The fourth proportional to 7,429, 10,252.02 and 4,285.66 is: 5,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429 : 10,252.02 = 4,285.66 : x
  2. Step 2: Convert to fraction form
    7,429/10,252.02 = 4,285.66/x
  3. Step 3: Cross multiply
    7,429x = 10,252.02 × 4,285.66
  4. Step 4: Simplify right side
    7,429x = 43,936,672.03
  5. Step 5: Solve for x
    x = 43,936,672.03/7,429
  6. Step 6: Final answer
    x = 5,914.21

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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.