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Finding the Fourth Proportional to 10,642.80, 15,980.40 and 8,180.40

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Solution

The fourth proportional to 10,642.80, 15,980.40 and 8,180.40 is: 12,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.80 : 15,980.40 = 8,180.40 : x
  2. Step 2: Convert to fraction form
    10,642.80/15,980.40 = 8,180.40/x
  3. Step 3: Cross multiply
    10,642.80x = 15,980.40 × 8,180.40
  4. Step 4: Simplify right side
    10,642.80x = 130,726,064.16
  5. Step 5: Solve for x
    x = 130,726,064.16/10,642.80
  6. Step 6: Final answer
    x = 12,283.05

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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.