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Finding the Fourth Proportional to 6,031.60, 9,047.40 and 3,107.50

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Solution

The fourth proportional to 6,031.60, 9,047.40 and 3,107.50 is: 4,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.60 : 9,047.40 = 3,107.50 : x
  2. Step 2: Convert to fraction form
    6,031.60/9,047.40 = 3,107.50/x
  3. Step 3: Cross multiply
    6,031.60x = 9,047.40 × 3,107.50
  4. Step 4: Simplify right side
    6,031.60x = 28,114,795.50
  5. Step 5: Solve for x
    x = 28,114,795.50/6,031.60
  6. Step 6: Final answer
    x = 4,661.25

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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.