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Finding the Fourth Proportional to 11,465.26, 15,825.44 and 7,486.99

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Solution

The fourth proportional to 11,465.26, 15,825.44 and 7,486.99 is: 10,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.26 : 15,825.44 = 7,486.99 : x
  2. Step 2: Convert to fraction form
    11,465.26/15,825.44 = 7,486.99/x
  3. Step 3: Cross multiply
    11,465.26x = 15,825.44 × 7,486.99
  4. Step 4: Simplify right side
    11,465.26x = 118,484,890.18
  5. Step 5: Solve for x
    x = 118,484,890.18/11,465.26
  6. Step 6: Final answer
    x = 10,334.25

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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.