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Finding the Fourth Proportional to 5,644.35, 7,804.06 and 4,943.71

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Solution

The fourth proportional to 5,644.35, 7,804.06 and 4,943.71 is: 6,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.35 : 7,804.06 = 4,943.71 : x
  2. Step 2: Convert to fraction form
    5,644.35/7,804.06 = 4,943.71/x
  3. Step 3: Cross multiply
    5,644.35x = 7,804.06 × 4,943.71
  4. Step 4: Simplify right side
    5,644.35x = 38,581,009.46
  5. Step 5: Solve for x
    x = 38,581,009.46/5,644.35
  6. Step 6: Final answer
    x = 6,835.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.