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Finding the Fourth Proportional to 7,768.83, 10,721.06 and 4,232.04

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Solution

The fourth proportional to 7,768.83, 10,721.06 and 4,232.04 is: 5,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.83 : 10,721.06 = 4,232.04 : x
  2. Step 2: Convert to fraction form
    7,768.83/10,721.06 = 4,232.04/x
  3. Step 3: Cross multiply
    7,768.83x = 10,721.06 × 4,232.04
  4. Step 4: Simplify right side
    7,768.83x = 45,371,954.76
  5. Step 5: Solve for x
    x = 45,371,954.76/7,768.83
  6. Step 6: Final answer
    x = 5,840.26

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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.