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Finding the Fourth Proportional to 6,582.54, 9,083.82 and 3,598.32

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Solution

The fourth proportional to 6,582.54, 9,083.82 and 3,598.32 is: 4,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.54 : 9,083.82 = 3,598.32 : x
  2. Step 2: Convert to fraction form
    6,582.54/9,083.82 = 3,598.32/x
  3. Step 3: Cross multiply
    6,582.54x = 9,083.82 × 3,598.32
  4. Step 4: Simplify right side
    6,582.54x = 32,686,491.18
  5. Step 5: Solve for x
    x = 32,686,491.18/6,582.54
  6. Step 6: Final answer
    x = 4,965.64

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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.