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Finding the Fourth Proportional to 8,353.72, 11,533 and 7,232.88

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Solution

The fourth proportional to 8,353.72, 11,533 and 7,232.88 is: 9,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.72 : 11,533 = 7,232.88 : x
  2. Step 2: Convert to fraction form
    8,353.72/11,533 = 7,232.88/x
  3. Step 3: Cross multiply
    8,353.72x = 11,533 × 7,232.88
  4. Step 4: Simplify right side
    8,353.72x = 83,416,805.04
  5. Step 5: Solve for x
    x = 83,416,805.04/8,353.72
  6. Step 6: Final answer
    x = 9,985.59

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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.