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Finding the Fourth Proportional to 10,002.30, 14,974.65 and 6,114.30

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Solution

The fourth proportional to 10,002.30, 14,974.65 and 6,114.30 is: 9,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.30 : 14,974.65 = 6,114.30 : x
  2. Step 2: Convert to fraction form
    10,002.30/14,974.65 = 6,114.30/x
  3. Step 3: Cross multiply
    10,002.30x = 14,974.65 × 6,114.30
  4. Step 4: Simplify right side
    10,002.30x = 91,559,502.50
  5. Step 5: Solve for x
    x = 91,559,502.50/10,002.30
  6. Step 6: Final answer
    x = 9,153.84

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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.