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Finding the Fourth Proportional to 7,064, 10,597.89 and 2,447

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Solution

The fourth proportional to 7,064, 10,597.89 and 2,447 is: 3,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064 : 10,597.89 = 2,447 : x
  2. Step 2: Convert to fraction form
    7,064/10,597.89 = 2,447/x
  3. Step 3: Cross multiply
    7,064x = 10,597.89 × 2,447
  4. Step 4: Simplify right side
    7,064x = 25,933,036.83
  5. Step 5: Solve for x
    x = 25,933,036.83/7,064
  6. Step 6: Final answer
    x = 3,671.15

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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.