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Finding the Fourth Proportional to 10,652, 15,967.17 and 4,415.40

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Solution

The fourth proportional to 10,652, 15,967.17 and 4,415.40 is: 6,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652 : 15,967.17 = 4,415.40 : x
  2. Step 2: Convert to fraction form
    10,652/15,967.17 = 4,415.40/x
  3. Step 3: Cross multiply
    10,652x = 15,967.17 × 4,415.40
  4. Step 4: Simplify right side
    10,652x = 70,501,442.42
  5. Step 5: Solve for x
    x = 70,501,442.42/10,652
  6. Step 6: Final answer
    x = 6,618.61

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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.