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Finding the Fourth Proportional to 6,506.82, 8,980.62 and 3,712.32

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Solution

The fourth proportional to 6,506.82, 8,980.62 and 3,712.32 is: 5,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.82 : 8,980.62 = 3,712.32 : x
  2. Step 2: Convert to fraction form
    6,506.82/8,980.62 = 3,712.32/x
  3. Step 3: Cross multiply
    6,506.82x = 8,980.62 × 3,712.32
  4. Step 4: Simplify right side
    6,506.82x = 33,338,935.24
  5. Step 5: Solve for x
    x = 33,338,935.24/6,506.82
  6. Step 6: Final answer
    x = 5,123.69

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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.