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Finding the Fourth Proportional to 10,980.60, 16,470.90 and 6,047.70

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Solution

The fourth proportional to 10,980.60, 16,470.90 and 6,047.70 is: 9,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.60 : 16,470.90 = 6,047.70 : x
  2. Step 2: Convert to fraction form
    10,980.60/16,470.90 = 6,047.70/x
  3. Step 3: Cross multiply
    10,980.60x = 16,470.90 × 6,047.70
  4. Step 4: Simplify right side
    10,980.60x = 99,611,061.93
  5. Step 5: Solve for x
    x = 99,611,061.93/10,980.60
  6. Step 6: Final answer
    x = 9,071.55

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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.