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Finding the Fourth Proportional to 6,582.14, 9,875.65 and 3,074.12

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Solution

The fourth proportional to 6,582.14, 9,875.65 and 3,074.12 is: 4,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.14 : 9,875.65 = 3,074.12 : x
  2. Step 2: Convert to fraction form
    6,582.14/9,875.65 = 3,074.12/x
  3. Step 3: Cross multiply
    6,582.14x = 9,875.65 × 3,074.12
  4. Step 4: Simplify right side
    6,582.14x = 30,358,933.18
  5. Step 5: Solve for x
    x = 30,358,933.18/6,582.14
  6. Step 6: Final answer
    x = 4,612.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.