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Finding the Fourth Proportional to 11,462.64, 15,816.03 and 7,489.59

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Solution

The fourth proportional to 11,462.64, 15,816.03 and 7,489.59 is: 10,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.64 : 15,816.03 = 7,489.59 : x
  2. Step 2: Convert to fraction form
    11,462.64/15,816.03 = 7,489.59/x
  3. Step 3: Cross multiply
    11,462.64x = 15,816.03 × 7,489.59
  4. Step 4: Simplify right side
    11,462.64x = 118,455,580.13
  5. Step 5: Solve for x
    x = 118,455,580.13/11,462.64
  6. Step 6: Final answer
    x = 10,334.06

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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.