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Finding the Fourth Proportional to 10,495, 15,740.58 and 3,474.76

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Solution

The fourth proportional to 10,495, 15,740.58 and 3,474.76 is: 5,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495 : 15,740.58 = 3,474.76 : x
  2. Step 2: Convert to fraction form
    10,495/15,740.58 = 3,474.76/x
  3. Step 3: Cross multiply
    10,495x = 15,740.58 × 3,474.76
  4. Step 4: Simplify right side
    10,495x = 54,694,737.76
  5. Step 5: Solve for x
    x = 54,694,737.76/10,495
  6. Step 6: Final answer
    x = 5,211.50

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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.