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Finding the Fourth Proportional to 11,493.25, 15,860.70 and 6,525.25

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Solution

The fourth proportional to 11,493.25, 15,860.70 and 6,525.25 is: 9,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.25 : 15,860.70 = 6,525.25 : x
  2. Step 2: Convert to fraction form
    11,493.25/15,860.70 = 6,525.25/x
  3. Step 3: Cross multiply
    11,493.25x = 15,860.70 × 6,525.25
  4. Step 4: Simplify right side
    11,493.25x = 103,495,032.68
  5. Step 5: Solve for x
    x = 103,495,032.68/11,493.25
  6. Step 6: Final answer
    x = 9,004.85

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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.