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Finding the Fourth Proportional to 9,980.54, 14,970.85 and 2,584.47

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Solution

The fourth proportional to 9,980.54, 14,970.85 and 2,584.47 is: 3,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.54 : 14,970.85 = 2,584.47 : x
  2. Step 2: Convert to fraction form
    9,980.54/14,970.85 = 2,584.47/x
  3. Step 3: Cross multiply
    9,980.54x = 14,970.85 × 2,584.47
  4. Step 4: Simplify right side
    9,980.54x = 38,691,706.24
  5. Step 5: Solve for x
    x = 38,691,706.24/9,980.54
  6. Step 6: Final answer
    x = 3,876.72

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1.5x scale

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.