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Finding the Fourth Proportional to 7,138.76, 10,696.62 and 4,397

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Solution

The fourth proportional to 7,138.76, 10,696.62 and 4,397 is: 6,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.76 : 10,696.62 = 4,397 : x
  2. Step 2: Convert to fraction form
    7,138.76/10,696.62 = 4,397/x
  3. Step 3: Cross multiply
    7,138.76x = 10,696.62 × 4,397
  4. Step 4: Simplify right side
    7,138.76x = 47,033,038.14
  5. Step 5: Solve for x
    x = 47,033,038.14/7,138.76
  6. Step 6: Final answer
    x = 6,588.40

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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.