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Finding the Fourth Proportional to 17,906, 24,710.76 and 9,948.56

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Solution

The fourth proportional to 17,906, 24,710.76 and 9,948.56 is: 13,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906 : 24,710.76 = 9,948.56 : x
  2. Step 2: Convert to fraction form
    17,906/24,710.76 = 9,948.56/x
  3. Step 3: Cross multiply
    17,906x = 24,710.76 × 9,948.56
  4. Step 4: Simplify right side
    17,906x = 245,836,478.51
  5. Step 5: Solve for x
    x = 245,836,478.51/17,906
  6. Step 6: Final answer
    x = 13,729.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.