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Finding the Fourth Proportional to 17,013.04, 23,478 and 9,562.48

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Solution

The fourth proportional to 17,013.04, 23,478 and 9,562.48 is: 13,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013.04 : 23,478 = 9,562.48 : x
  2. Step 2: Convert to fraction form
    17,013.04/23,478 = 9,562.48/x
  3. Step 3: Cross multiply
    17,013.04x = 23,478 × 9,562.48
  4. Step 4: Simplify right side
    17,013.04x = 224,507,905.44
  5. Step 5: Solve for x
    x = 224,507,905.44/17,013.04
  6. Step 6: Final answer
    x = 13,196.23

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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.