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Finding the Fourth Proportional to 13,009.68, 17,953.56 and 7,420.68

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Solution

The fourth proportional to 13,009.68, 17,953.56 and 7,420.68 is: 10,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.68 : 17,953.56 = 7,420.68 : x
  2. Step 2: Convert to fraction form
    13,009.68/17,953.56 = 7,420.68/x
  3. Step 3: Cross multiply
    13,009.68x = 17,953.56 × 7,420.68
  4. Step 4: Simplify right side
    13,009.68x = 133,227,623.62
  5. Step 5: Solve for x
    x = 133,227,623.62/13,009.68
  6. Step 6: Final answer
    x = 10,240.65

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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.