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Finding the Fourth Proportional to 7,063, 10,594.51 and 2,446

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Solution

The fourth proportional to 7,063, 10,594.51 and 2,446 is: 3,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063 : 10,594.51 = 2,446 : x
  2. Step 2: Convert to fraction form
    7,063/10,594.51 = 2,446/x
  3. Step 3: Cross multiply
    7,063x = 10,594.51 × 2,446
  4. Step 4: Simplify right side
    7,063x = 25,914,171.46
  5. Step 5: Solve for x
    x = 25,914,171.46/7,063
  6. Step 6: Final answer
    x = 3,669.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.