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Finding the Fourth Proportional to 9,062.64, 13,599 and 4,446

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Solution

The fourth proportional to 9,062.64, 13,599 and 4,446 is: 6,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.64 : 13,599 = 4,446 : x
  2. Step 2: Convert to fraction form
    9,062.64/13,599 = 4,446/x
  3. Step 3: Cross multiply
    9,062.64x = 13,599 × 4,446
  4. Step 4: Simplify right side
    9,062.64x = 60,461,154
  5. Step 5: Solve for x
    x = 60,461,154/9,062.64
  6. Step 6: Final answer
    x = 6,671.47

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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.