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Finding the Fourth Proportional to 11,464.75, 15,814.63 and 7,209.06

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Solution

The fourth proportional to 11,464.75, 15,814.63 and 7,209.06 is: 9,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.75 : 15,814.63 = 7,209.06 : x
  2. Step 2: Convert to fraction form
    11,464.75/15,814.63 = 7,209.06/x
  3. Step 3: Cross multiply
    11,464.75x = 15,814.63 × 7,209.06
  4. Step 4: Simplify right side
    11,464.75x = 114,008,580.50
  5. Step 5: Solve for x
    x = 114,008,580.50/11,464.75
  6. Step 6: Final answer
    x = 9,944.28

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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.