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Finding the Fourth Proportional to 13,022.51, 17,970.93 and 7,433.51

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Solution

The fourth proportional to 13,022.51, 17,970.93 and 7,433.51 is: 10,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.51 : 17,970.93 = 7,433.51 : x
  2. Step 2: Convert to fraction form
    13,022.51/17,970.93 = 7,433.51/x
  3. Step 3: Cross multiply
    13,022.51x = 17,970.93 × 7,433.51
  4. Step 4: Simplify right side
    13,022.51x = 133,586,998.01
  5. Step 5: Solve for x
    x = 133,586,998.01/13,022.51
  6. Step 6: Final answer
    x = 10,258.16

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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.