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Finding the Fourth Proportional to 9,802.43, 14,703.17 and 2,406.45

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Solution

The fourth proportional to 9,802.43, 14,703.17 and 2,406.45 is: 3,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.43 : 14,703.17 = 2,406.45 : x
  2. Step 2: Convert to fraction form
    9,802.43/14,703.17 = 2,406.45/x
  3. Step 3: Cross multiply
    9,802.43x = 14,703.17 × 2,406.45
  4. Step 4: Simplify right side
    9,802.43x = 35,382,431.41
  5. Step 5: Solve for x
    x = 35,382,431.41/9,802.43
  6. Step 6: Final answer
    x = 3,609.56

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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.