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Finding the Fourth Proportional to 9,802.80, 14,705.40 and 3,227.20

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Solution

The fourth proportional to 9,802.80, 14,705.40 and 3,227.20 is: 4,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.80 : 14,705.40 = 3,227.20 : x
  2. Step 2: Convert to fraction form
    9,802.80/14,705.40 = 3,227.20/x
  3. Step 3: Cross multiply
    9,802.80x = 14,705.40 × 3,227.20
  4. Step 4: Simplify right side
    9,802.80x = 47,457,266.88
  5. Step 5: Solve for x
    x = 47,457,266.88/9,802.80
  6. Step 6: Final answer
    x = 4,841.20

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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.