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Finding the Fourth Proportional to 6,199, 9,299.04 and 1,582

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Solution

The fourth proportional to 6,199, 9,299.04 and 1,582 is: 2,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199 : 9,299.04 = 1,582 : x
  2. Step 2: Convert to fraction form
    6,199/9,299.04 = 1,582/x
  3. Step 3: Cross multiply
    6,199x = 9,299.04 × 1,582
  4. Step 4: Simplify right side
    6,199x = 14,711,081.28
  5. Step 5: Solve for x
    x = 14,711,081.28/6,199
  6. Step 6: Final answer
    x = 2,373.14

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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.