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Finding the Fourth Proportional to 11,464.58, 15,824.48 and 7,486.31

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Solution

The fourth proportional to 11,464.58, 15,824.48 and 7,486.31 is: 10,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.58 : 15,824.48 = 7,486.31 : x
  2. Step 2: Convert to fraction form
    11,464.58/15,824.48 = 7,486.31/x
  3. Step 3: Cross multiply
    11,464.58x = 15,824.48 × 7,486.31
  4. Step 4: Simplify right side
    11,464.58x = 118,466,962.87
  5. Step 5: Solve for x
    x = 118,466,962.87/11,464.58
  6. Step 6: Final answer
    x = 10,333.30

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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.