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Finding the Fourth Proportional to 9,880.57, 14,820.86 and 2,485

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Solution

The fourth proportional to 9,880.57, 14,820.86 and 2,485 is: 3,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.57 : 14,820.86 = 2,485 : x
  2. Step 2: Convert to fraction form
    9,880.57/14,820.86 = 2,485/x
  3. Step 3: Cross multiply
    9,880.57x = 14,820.86 × 2,485
  4. Step 4: Simplify right side
    9,880.57x = 36,829,837.10
  5. Step 5: Solve for x
    x = 36,829,837.10/9,880.57
  6. Step 6: Final answer
    x = 3,727.50

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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.