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Finding the Fourth Proportional to 6,534, 9,024.35 and 4,434.48

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Solution

The fourth proportional to 6,534, 9,024.35 and 4,434.48 is: 6,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534 : 9,024.35 = 4,434.48 : x
  2. Step 2: Convert to fraction form
    6,534/9,024.35 = 4,434.48/x
  3. Step 3: Cross multiply
    6,534x = 9,024.35 × 4,434.48
  4. Step 4: Simplify right side
    6,534x = 40,018,277.42
  5. Step 5: Solve for x
    x = 40,018,277.42/6,534
  6. Step 6: Final answer
    x = 6,124.62

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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.