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Finding the Fourth Proportional to 22,950, 34,430.76 and 6,534

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Solution

The fourth proportional to 22,950, 34,430.76 and 6,534 is: 9,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950 : 34,430.76 = 6,534 : x
  2. Step 2: Convert to fraction form
    22,950/34,430.76 = 6,534/x
  3. Step 3: Cross multiply
    22,950x = 34,430.76 × 6,534
  4. Step 4: Simplify right side
    22,950x = 224,970,585.84
  5. Step 5: Solve for x
    x = 224,970,585.84/22,950
  6. Step 6: Final answer
    x = 9,802.64

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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.