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Finding the Fourth Proportional to 6,038.11, 9,057.16 and 1,655.91

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Solution

The fourth proportional to 6,038.11, 9,057.16 and 1,655.91 is: 2,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.11 : 9,057.16 = 1,655.91 : x
  2. Step 2: Convert to fraction form
    6,038.11/9,057.16 = 1,655.91/x
  3. Step 3: Cross multiply
    6,038.11x = 9,057.16 × 1,655.91
  4. Step 4: Simplify right side
    6,038.11x = 14,997,841.82
  5. Step 5: Solve for x
    x = 14,997,841.82/6,038.11
  6. Step 6: Final answer
    x = 2,483.86

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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.