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Finding the Fourth Proportional to 9,698, 14,547.54 and 2,773.04

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Solution

The fourth proportional to 9,698, 14,547.54 and 2,773.04 is: 4,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698 : 14,547.54 = 2,773.04 : x
  2. Step 2: Convert to fraction form
    9,698/14,547.54 = 2,773.04/x
  3. Step 3: Cross multiply
    9,698x = 14,547.54 × 2,773.04
  4. Step 4: Simplify right side
    9,698x = 40,340,910.32
  5. Step 5: Solve for x
    x = 40,340,910.32/9,698
  6. Step 6: Final answer
    x = 4,159.71

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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.