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Finding the Fourth Proportional to 9,980.68, 14,968.46 and 2,959.05

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Solution

The fourth proportional to 9,980.68, 14,968.46 and 2,959.05 is: 4,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.68 : 14,968.46 = 2,959.05 : x
  2. Step 2: Convert to fraction form
    9,980.68/14,968.46 = 2,959.05/x
  3. Step 3: Cross multiply
    9,980.68x = 14,968.46 × 2,959.05
  4. Step 4: Simplify right side
    9,980.68x = 44,292,389.80
  5. Step 5: Solve for x
    x = 44,292,389.80/9,980.68
  6. Step 6: Final answer
    x = 4,437.81

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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.