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Finding the Fourth Proportional to 6,582.34, 9,083.82 and 3,598.30

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Solution

The fourth proportional to 6,582.34, 9,083.82 and 3,598.30 is: 4,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.34 : 9,083.82 = 3,598.30 : x
  2. Step 2: Convert to fraction form
    6,582.34/9,083.82 = 3,598.30/x
  3. Step 3: Cross multiply
    6,582.34x = 9,083.82 × 3,598.30
  4. Step 4: Simplify right side
    6,582.34x = 32,686,309.51
  5. Step 5: Solve for x
    x = 32,686,309.51/6,582.34
  6. Step 6: Final answer
    x = 4,965.76

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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.