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Finding the Fourth Proportional to 9,802.63, 14,706.22 and 3,228.58

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Solution

The fourth proportional to 9,802.63, 14,706.22 and 3,228.58 is: 4,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.63 : 14,706.22 = 3,228.58 : x
  2. Step 2: Convert to fraction form
    9,802.63/14,706.22 = 3,228.58/x
  3. Step 3: Cross multiply
    9,802.63x = 14,706.22 × 3,228.58
  4. Step 4: Simplify right side
    9,802.63x = 47,480,207.77
  5. Step 5: Solve for x
    x = 47,480,207.77/9,802.63
  6. Step 6: Final answer
    x = 4,843.62

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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.