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Finding the Fourth Proportional to 11,506.60, 17,259.90 and 7,132.60

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Solution

The fourth proportional to 11,506.60, 17,259.90 and 7,132.60 is: 10,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.60 : 17,259.90 = 7,132.60 : x
  2. Step 2: Convert to fraction form
    11,506.60/17,259.90 = 7,132.60/x
  3. Step 3: Cross multiply
    11,506.60x = 17,259.90 × 7,132.60
  4. Step 4: Simplify right side
    11,506.60x = 123,107,962.74
  5. Step 5: Solve for x
    x = 123,107,962.74/11,506.60
  6. Step 6: Final answer
    x = 10,698.90

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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.