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Finding the Fourth Proportional to 9,802.93, 14,696.12 and 4,252.09

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Solution

The fourth proportional to 9,802.93, 14,696.12 and 4,252.09 is: 6,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.93 : 14,696.12 = 4,252.09 : x
  2. Step 2: Convert to fraction form
    9,802.93/14,696.12 = 4,252.09/x
  3. Step 3: Cross multiply
    9,802.93x = 14,696.12 × 4,252.09
  4. Step 4: Simplify right side
    9,802.93x = 62,489,253.89
  5. Step 5: Solve for x
    x = 62,489,253.89/9,802.93
  6. Step 6: Final answer
    x = 6,374.55

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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.