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Finding the Fourth Proportional to 10,155.06, 15,210.72 and 4,950

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Solution

The fourth proportional to 10,155.06, 15,210.72 and 4,950 is: 7,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.06 : 15,210.72 = 4,950 : x
  2. Step 2: Convert to fraction form
    10,155.06/15,210.72 = 4,950/x
  3. Step 3: Cross multiply
    10,155.06x = 15,210.72 × 4,950
  4. Step 4: Simplify right side
    10,155.06x = 75,293,064
  5. Step 5: Solve for x
    x = 75,293,064/10,155.06
  6. Step 6: Final answer
    x = 7,414.34

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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.