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Finding the Fourth Proportional to 11,468.64, 15,824.34 and 7,495.60

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Solution

The fourth proportional to 11,468.64, 15,824.34 and 7,495.60 is: 10,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.64 : 15,824.34 = 7,495.60 : x
  2. Step 2: Convert to fraction form
    11,468.64/15,824.34 = 7,495.60/x
  3. Step 3: Cross multiply
    11,468.64x = 15,824.34 × 7,495.60
  4. Step 4: Simplify right side
    11,468.64x = 118,612,922.90
  5. Step 5: Solve for x
    x = 118,612,922.90/11,468.64
  6. Step 6: Final answer
    x = 10,342.37

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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.