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Finding the Fourth Proportional to 10,395.68, 15,595.86 and 3,470

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Solution

The fourth proportional to 10,395.68, 15,595.86 and 3,470 is: 5,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.68 : 15,595.86 = 3,470 : x
  2. Step 2: Convert to fraction form
    10,395.68/15,595.86 = 3,470/x
  3. Step 3: Cross multiply
    10,395.68x = 15,595.86 × 3,470
  4. Step 4: Simplify right side
    10,395.68x = 54,117,634.20
  5. Step 5: Solve for x
    x = 54,117,634.20/10,395.68
  6. Step 6: Final answer
    x = 5,205.78

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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.