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Finding the Fourth Proportional to 10,498.81, 15,737.10 and 3,477.01

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Solution

The fourth proportional to 10,498.81, 15,737.10 and 3,477.01 is: 5,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.81 : 15,737.10 = 3,477.01 : x
  2. Step 2: Convert to fraction form
    10,498.81/15,737.10 = 3,477.01/x
  3. Step 3: Cross multiply
    10,498.81x = 15,737.10 × 3,477.01
  4. Step 4: Simplify right side
    10,498.81x = 54,718,054.07
  5. Step 5: Solve for x
    x = 54,718,054.07/10,498.81
  6. Step 6: Final answer
    x = 5,211.83

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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.