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Finding the Fourth Proportional to 6,140, 9,210 and 1,523.04

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Solution

The fourth proportional to 6,140, 9,210 and 1,523.04 is: 2,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140 : 9,210 = 1,523.04 : x
  2. Step 2: Convert to fraction form
    6,140/9,210 = 1,523.04/x
  3. Step 3: Cross multiply
    6,140x = 9,210 × 1,523.04
  4. Step 4: Simplify right side
    6,140x = 14,027,198.40
  5. Step 5: Solve for x
    x = 14,027,198.40/6,140
  6. Step 6: Final answer
    x = 2,284.56

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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.