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Finding the Fourth Proportional to 5,295.47, 7,943.54 and 1,785.83

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Solution

The fourth proportional to 5,295.47, 7,943.54 and 1,785.83 is: 2,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.47 : 7,943.54 = 1,785.83 : x
  2. Step 2: Convert to fraction form
    5,295.47/7,943.54 = 1,785.83/x
  3. Step 3: Cross multiply
    5,295.47x = 7,943.54 × 1,785.83
  4. Step 4: Simplify right side
    5,295.47x = 14,185,763.39
  5. Step 5: Solve for x
    x = 14,185,763.39/5,295.47
  6. Step 6: Final answer
    x = 2,678.85

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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.