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Finding the Fourth Proportional to 6,034.50, 9,051.35 and 1,652.00

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Solution

The fourth proportional to 6,034.50, 9,051.35 and 1,652.00 is: 2,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.50 : 9,051.35 = 1,652.00 : x
  2. Step 2: Convert to fraction form
    6,034.50/9,051.35 = 1,652.00/x
  3. Step 3: Cross multiply
    6,034.50x = 9,051.35 × 1,652.00
  4. Step 4: Simplify right side
    6,034.50x = 14,952,776.68
  5. Step 5: Solve for x
    x = 14,952,776.68/6,034.50
  6. Step 6: Final answer
    x = 2,477.88

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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.