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Finding the Fourth Proportional to 22,925, 34,393.28 and 6,509

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Solution

The fourth proportional to 22,925, 34,393.28 and 6,509 is: 9,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925 : 34,393.28 = 6,509 : x
  2. Step 2: Convert to fraction form
    22,925/34,393.28 = 6,509/x
  3. Step 3: Cross multiply
    22,925x = 34,393.28 × 6,509
  4. Step 4: Simplify right side
    22,925x = 223,865,859.52
  5. Step 5: Solve for x
    x = 223,865,859.52/22,925
  6. Step 6: Final answer
    x = 9,765.14

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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.