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Finding the Fourth Proportional to 6,210, 9,314.73 and 3,088.80

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Solution

The fourth proportional to 6,210, 9,314.73 and 3,088.80 is: 4,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210 : 9,314.73 = 3,088.80 : x
  2. Step 2: Convert to fraction form
    6,210/9,314.73 = 3,088.80/x
  3. Step 3: Cross multiply
    6,210x = 9,314.73 × 3,088.80
  4. Step 4: Simplify right side
    6,210x = 28,771,338.02
  5. Step 5: Solve for x
    x = 28,771,338.02/6,210
  6. Step 6: Final answer
    x = 4,633.07

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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.