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Finding the Fourth Proportional to 7,095.50, 10,648.14 and 2,478.50

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Solution

The fourth proportional to 7,095.50, 10,648.14 and 2,478.50 is: 3,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.50 : 10,648.14 = 2,478.50 : x
  2. Step 2: Convert to fraction form
    7,095.50/10,648.14 = 2,478.50/x
  3. Step 3: Cross multiply
    7,095.50x = 10,648.14 × 2,478.50
  4. Step 4: Simplify right side
    7,095.50x = 26,391,414.99
  5. Step 5: Solve for x
    x = 26,391,414.99/7,095.50
  6. Step 6: Final answer
    x = 3,719.46

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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.