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Finding the Fourth Proportional to 11,533.80, 17,300.70 and 3,743.40

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Solution

The fourth proportional to 11,533.80, 17,300.70 and 3,743.40 is: 5,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.80 : 17,300.70 = 3,743.40 : x
  2. Step 2: Convert to fraction form
    11,533.80/17,300.70 = 3,743.40/x
  3. Step 3: Cross multiply
    11,533.80x = 17,300.70 × 3,743.40
  4. Step 4: Simplify right side
    11,533.80x = 64,763,440.38
  5. Step 5: Solve for x
    x = 64,763,440.38/11,533.80
  6. Step 6: Final answer
    x = 5,615.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.