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Finding the Fourth Proportional to 6,059.72, 9,089.76 and 1,677.50

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Solution

The fourth proportional to 6,059.72, 9,089.76 and 1,677.50 is: 2,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.72 : 9,089.76 = 1,677.50 : x
  2. Step 2: Convert to fraction form
    6,059.72/9,089.76 = 1,677.50/x
  3. Step 3: Cross multiply
    6,059.72x = 9,089.76 × 1,677.50
  4. Step 4: Simplify right side
    6,059.72x = 15,248,072.40
  5. Step 5: Solve for x
    x = 15,248,072.40/6,059.72
  6. Step 6: Final answer
    x = 2,516.30

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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.