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Finding the Fourth Proportional to 17,283.96, 25,929.78 and 4,971

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Solution

The fourth proportional to 17,283.96, 25,929.78 and 4,971 is: 7,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.96 : 25,929.78 = 4,971 : x
  2. Step 2: Convert to fraction form
    17,283.96/25,929.78 = 4,971/x
  3. Step 3: Cross multiply
    17,283.96x = 25,929.78 × 4,971
  4. Step 4: Simplify right side
    17,283.96x = 128,896,936.38
  5. Step 5: Solve for x
    x = 128,896,936.38/17,283.96
  6. Step 6: Final answer
    x = 7,457.60

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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.