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Finding the Fourth Proportional to 9,772.40, 14,680.20 and 9,405.20

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Solution

The fourth proportional to 9,772.40, 14,680.20 and 9,405.20 is: 14,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.40 : 14,680.20 = 9,405.20 : x
  2. Step 2: Convert to fraction form
    9,772.40/14,680.20 = 9,405.20/x
  3. Step 3: Cross multiply
    9,772.40x = 14,680.20 × 9,405.20
  4. Step 4: Simplify right side
    9,772.40x = 138,070,217.04
  5. Step 5: Solve for x
    x = 138,070,217.04/9,772.40
  6. Step 6: Final answer
    x = 14,128.59

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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.