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Finding the Fourth Proportional to 15,913, 21,960.06 and 9,948.18

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Solution

The fourth proportional to 15,913, 21,960.06 and 9,948.18 is: 13,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913 : 21,960.06 = 9,948.18 : x
  2. Step 2: Convert to fraction form
    15,913/21,960.06 = 9,948.18/x
  3. Step 3: Cross multiply
    15,913x = 21,960.06 × 9,948.18
  4. Step 4: Simplify right side
    15,913x = 218,462,629.69
  5. Step 5: Solve for x
    x = 218,462,629.69/15,913
  6. Step 6: Final answer
    x = 13,728.56

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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.