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Finding the Fourth Proportional to 9,798.83, 14,696.29 and 4,799.06

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Solution

The fourth proportional to 9,798.83, 14,696.29 and 4,799.06 is: 7,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.83 : 14,696.29 = 4,799.06 : x
  2. Step 2: Convert to fraction form
    9,798.83/14,696.29 = 4,799.06/x
  3. Step 3: Cross multiply
    9,798.83x = 14,696.29 × 4,799.06
  4. Step 4: Simplify right side
    9,798.83x = 70,528,280.01
  5. Step 5: Solve for x
    x = 70,528,280.01/9,798.83
  6. Step 6: Final answer
    x = 7,197.63

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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.