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Finding the Fourth Proportional to 6,329.86, 8,737.53 and 3,812.07

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Solution

The fourth proportional to 6,329.86, 8,737.53 and 3,812.07 is: 5,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.86 : 8,737.53 = 3,812.07 : x
  2. Step 2: Convert to fraction form
    6,329.86/8,737.53 = 3,812.07/x
  3. Step 3: Cross multiply
    6,329.86x = 8,737.53 × 3,812.07
  4. Step 4: Simplify right side
    6,329.86x = 33,308,075.99
  5. Step 5: Solve for x
    x = 33,308,075.99/6,329.86
  6. Step 6: Final answer
    x = 5,262.06

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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.