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Finding the Fourth Proportional to 7,396.17, 10,209.54 and 4,564

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Solution

The fourth proportional to 7,396.17, 10,209.54 and 4,564 is: 6,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.17 : 10,209.54 = 4,564 : x
  2. Step 2: Convert to fraction form
    7,396.17/10,209.54 = 4,564/x
  3. Step 3: Cross multiply
    7,396.17x = 10,209.54 × 4,564
  4. Step 4: Simplify right side
    7,396.17x = 46,596,340.56
  5. Step 5: Solve for x
    x = 46,596,340.56/7,396.17
  6. Step 6: Final answer
    x = 6,300.06

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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.