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Finding the Fourth Proportional to 7,746.03, 11,610 and 3,799.17

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Solution

The fourth proportional to 7,746.03, 11,610 and 3,799.17 is: 5,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.03 : 11,610 = 3,799.17 : x
  2. Step 2: Convert to fraction form
    7,746.03/11,610 = 3,799.17/x
  3. Step 3: Cross multiply
    7,746.03x = 11,610 × 3,799.17
  4. Step 4: Simplify right side
    7,746.03x = 44,108,363.70
  5. Step 5: Solve for x
    x = 44,108,363.70/7,746.03
  6. Step 6: Final answer
    x = 5,694.32

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1.5x scale

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.