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Finding the Fourth Proportional to 13,181.80, 19,772.70 and 9,509.80

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Solution

The fourth proportional to 13,181.80, 19,772.70 and 9,509.80 is: 14,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.80 : 19,772.70 = 9,509.80 : x
  2. Step 2: Convert to fraction form
    13,181.80/19,772.70 = 9,509.80/x
  3. Step 3: Cross multiply
    13,181.80x = 19,772.70 × 9,509.80
  4. Step 4: Simplify right side
    13,181.80x = 188,034,422.46
  5. Step 5: Solve for x
    x = 188,034,422.46/13,181.80
  6. Step 6: Final answer
    x = 14,264.70

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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.