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Finding the Fourth Proportional to 7,064.96, 10,597 and 3,168.32

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Solution

The fourth proportional to 7,064.96, 10,597 and 3,168.32 is: 4,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.96 : 10,597 = 3,168.32 : x
  2. Step 2: Convert to fraction form
    7,064.96/10,597 = 3,168.32/x
  3. Step 3: Cross multiply
    7,064.96x = 10,597 × 3,168.32
  4. Step 4: Simplify right side
    7,064.96x = 33,574,687.04
  5. Step 5: Solve for x
    x = 33,574,687.04/7,064.96
  6. Step 6: Final answer
    x = 4,752.28

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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.